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Finding the Fourth Proportional to 615,091.30, 923,328.15 and 475,468.90

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Solution

The fourth proportional to 615,091.30, 923,328.15 and 475,468.90 is: 713,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,091.30 : 923,328.15 = 475,468.90 : x
  2. Step 2: Convert to fraction form
    615,091.30/923,328.15 = 475,468.90/x
  3. Step 3: Cross multiply
    615,091.30x = 923,328.15 × 475,468.90
  4. Step 4: Simplify right side
    615,091.30x = 439,013,819,819.54
  5. Step 5: Solve for x
    x = 439,013,819,819.54/615,091.30
  6. Step 6: Final answer
    x = 713,737.65

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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.