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Finding the Fourth Proportional to 542,814.20, 814,221.30 and 507,822.20

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Solution

The fourth proportional to 542,814.20, 814,221.30 and 507,822.20 is: 761,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,814.20 : 814,221.30 = 507,822.20 : x
  2. Step 2: Convert to fraction form
    542,814.20/814,221.30 = 507,822.20/x
  3. Step 3: Cross multiply
    542,814.20x = 814,221.30 × 507,822.20
  4. Step 4: Simplify right side
    542,814.20x = 413,479,651,852.86
  5. Step 5: Solve for x
    x = 413,479,651,852.86/542,814.20
  6. Step 6: Final answer
    x = 761,733.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.