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Finding the Fourth Proportional to 642,608.74, 964,114.56 and 386,720.50

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Solution

The fourth proportional to 642,608.74, 964,114.56 and 386,720.50 is: 580,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,608.74 : 964,114.56 = 386,720.50 : x
  2. Step 2: Convert to fraction form
    642,608.74/964,114.56 = 386,720.50/x
  3. Step 3: Cross multiply
    642,608.74x = 964,114.56 × 386,720.50
  4. Step 4: Simplify right side
    642,608.74x = 372,842,864,700.48
  5. Step 5: Solve for x
    x = 372,842,864,700.48/642,608.74
  6. Step 6: Final answer
    x = 580,201.98

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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.