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Finding the Fourth Proportional to 708,257.12, 977,370 and 385,960.64

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Solution

The fourth proportional to 708,257.12, 977,370 and 385,960.64 is: 532,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,257.12 : 977,370 = 385,960.64 : x
  2. Step 2: Convert to fraction form
    708,257.12/977,370 = 385,960.64/x
  3. Step 3: Cross multiply
    708,257.12x = 977,370 × 385,960.64
  4. Step 4: Simplify right side
    708,257.12x = 377,226,350,716.80
  5. Step 5: Solve for x
    x = 377,226,350,716.80/708,257.12
  6. Step 6: Final answer
    x = 532,612.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.