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Finding the Fourth Proportional to 402,939.90, 604,201.77 and 118,593.45

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Solution

The fourth proportional to 402,939.90, 604,201.77 and 118,593.45 is: 177,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,939.90 : 604,201.77 = 118,593.45 : x
  2. Step 2: Convert to fraction form
    402,939.90/604,201.77 = 118,593.45/x
  3. Step 3: Cross multiply
    402,939.90x = 604,201.77 × 118,593.45
  4. Step 4: Simplify right side
    402,939.90x = 71,654,372,400.41
  5. Step 5: Solve for x
    x = 71,654,372,400.41/402,939.90
  6. Step 6: Final answer
    x = 177,828.93

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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.