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Finding the Fourth Proportional to 390,123.77, 585,205.88 and 123,905.12

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Solution

The fourth proportional to 390,123.77, 585,205.88 and 123,905.12 is: 185,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,123.77 : 585,205.88 = 123,905.12 : x
  2. Step 2: Convert to fraction form
    390,123.77/585,205.88 = 123,905.12/x
  3. Step 3: Cross multiply
    390,123.77x = 585,205.88 × 123,905.12
  4. Step 4: Simplify right side
    390,123.77x = 72,510,001,240.55
  5. Step 5: Solve for x
    x = 72,510,001,240.55/390,123.77
  6. Step 6: Final answer
    x = 185,864.10

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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.