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Finding the Fourth Proportional to 380,712.46, 571,069.40 and 156,032.71

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Solution

The fourth proportional to 380,712.46, 571,069.40 and 156,032.71 is: 234,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,712.46 : 571,069.40 = 156,032.71 : x
  2. Step 2: Convert to fraction form
    380,712.46/571,069.40 = 156,032.71/x
  3. Step 3: Cross multiply
    380,712.46x = 571,069.40 × 156,032.71
  4. Step 4: Simplify right side
    380,712.46x = 89,105,506,080.07
  5. Step 5: Solve for x
    x = 89,105,506,080.07/380,712.46
  6. Step 6: Final answer
    x = 234,049.36

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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.