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Finding the Fourth Proportional to 687,912.32, 947,756.90 and 532,328.57

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Solution

The fourth proportional to 687,912.32, 947,756.90 and 532,328.57 is: 733,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,912.32 : 947,756.90 = 532,328.57 : x
  2. Step 2: Convert to fraction form
    687,912.32/947,756.90 = 532,328.57/x
  3. Step 3: Cross multiply
    687,912.32x = 947,756.90 × 532,328.57
  4. Step 4: Simplify right side
    687,912.32x = 504,518,074,992.38
  5. Step 5: Solve for x
    x = 504,518,074,992.38/687,912.32
  6. Step 6: Final answer
    x = 733,404.62

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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.