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Finding the Fourth Proportional to 747,195, 1,031,129.10 and 478,923

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Solution

The fourth proportional to 747,195, 1,031,129.10 and 478,923 is: 660,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,195 : 1,031,129.10 = 478,923 : x
  2. Step 2: Convert to fraction form
    747,195/1,031,129.10 = 478,923/x
  3. Step 3: Cross multiply
    747,195x = 1,031,129.10 × 478,923
  4. Step 4: Simplify right side
    747,195x = 493,831,441,959.30
  5. Step 5: Solve for x
    x = 493,831,441,959.30/747,195
  6. Step 6: Final answer
    x = 660,913.74

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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.