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Finding the Fourth Proportional to 434,254.56, 654,340.02 and 357,097.20

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Solution

The fourth proportional to 434,254.56, 654,340.02 and 357,097.20 is: 538,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,254.56 : 654,340.02 = 357,097.20 : x
  2. Step 2: Convert to fraction form
    434,254.56/654,340.02 = 357,097.20/x
  3. Step 3: Cross multiply
    434,254.56x = 654,340.02 × 357,097.20
  4. Step 4: Simplify right side
    434,254.56x = 233,662,988,989.94
  5. Step 5: Solve for x
    x = 233,662,988,989.94/434,254.56
  6. Step 6: Final answer
    x = 538,078.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.