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Finding the Fourth Proportional to 687,064.52, 948,149.34 and 418,792.52

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Solution

The fourth proportional to 687,064.52, 948,149.34 and 418,792.52 is: 577,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,064.52 : 948,149.34 = 418,792.52 : x
  2. Step 2: Convert to fraction form
    687,064.52/948,149.34 = 418,792.52/x
  3. Step 3: Cross multiply
    687,064.52x = 948,149.34 × 418,792.52
  4. Step 4: Simplify right side
    687,064.52x = 397,077,851,434.94
  5. Step 5: Solve for x
    x = 397,077,851,434.94/687,064.52
  6. Step 6: Final answer
    x = 577,933.86

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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.