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Finding the Fourth Proportional to 457,765.68, 686,557.80 and 369,534

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Solution

The fourth proportional to 457,765.68, 686,557.80 and 369,534 is: 554,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,765.68 : 686,557.80 = 369,534 : x
  2. Step 2: Convert to fraction form
    457,765.68/686,557.80 = 369,534/x
  3. Step 3: Cross multiply
    457,765.68x = 686,557.80 × 369,534
  4. Step 4: Simplify right side
    457,765.68x = 253,706,450,065.20
  5. Step 5: Solve for x
    x = 253,706,450,065.20/457,765.68
  6. Step 6: Final answer
    x = 554,227.77

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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.