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Finding the Fourth Proportional to 390,072.84, 585,129.52 and 123,854.20

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Solution

The fourth proportional to 390,072.84, 585,129.52 and 123,854.20 is: 185,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,072.84 : 585,129.52 = 123,854.20 : x
  2. Step 2: Convert to fraction form
    390,072.84/585,129.52 = 123,854.20/x
  3. Step 3: Cross multiply
    390,072.84x = 585,129.52 × 123,854.20
  4. Step 4: Simplify right side
    390,072.84x = 72,470,748,595.98
  5. Step 5: Solve for x
    x = 72,470,748,595.98/390,072.84
  6. Step 6: Final answer
    x = 185,787.73

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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.