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Finding the Fourth Proportional to 469,376, 703,441.92 and 390,993.92

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Solution

The fourth proportional to 469,376, 703,441.92 and 390,993.92 is: 585,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,376 : 703,441.92 = 390,993.92 : x
  2. Step 2: Convert to fraction form
    469,376/703,441.92 = 390,993.92/x
  3. Step 3: Cross multiply
    469,376x = 703,441.92 × 390,993.92
  4. Step 4: Simplify right side
    469,376x = 275,041,513,793.13
  5. Step 5: Solve for x
    x = 275,041,513,793.13/469,376
  6. Step 6: Final answer
    x = 585,972.68

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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.