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Finding the Fourth Proportional to 665,214.76, 917,999.22 and 363,415.24

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Solution

The fourth proportional to 665,214.76, 917,999.22 and 363,415.24 is: 501,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,214.76 : 917,999.22 = 363,415.24 : x
  2. Step 2: Convert to fraction form
    665,214.76/917,999.22 = 363,415.24/x
  3. Step 3: Cross multiply
    665,214.76x = 917,999.22 × 363,415.24
  4. Step 4: Simplify right side
    665,214.76x = 333,614,906,856.11
  5. Step 5: Solve for x
    x = 333,614,906,856.11/665,214.76
  6. Step 6: Final answer
    x = 501,514.59

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.