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Finding the Fourth Proportional to 543,043.20, 814,564.80 and 507,613.80

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Solution

The fourth proportional to 543,043.20, 814,564.80 and 507,613.80 is: 761,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,043.20 : 814,564.80 = 507,613.80 : x
  2. Step 2: Convert to fraction form
    543,043.20/814,564.80 = 507,613.80/x
  3. Step 3: Cross multiply
    543,043.20x = 814,564.80 × 507,613.80
  4. Step 4: Simplify right side
    543,043.20x = 413,484,333,474.24
  5. Step 5: Solve for x
    x = 413,484,333,474.24/543,043.20
  6. Step 6: Final answer
    x = 761,420.70

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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.