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Finding the Fourth Proportional to 687,931.85, 949,314 and 382,027.61

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Solution

The fourth proportional to 687,931.85, 949,314 and 382,027.61 is: 527,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,931.85 : 949,314 = 382,027.61 : x
  2. Step 2: Convert to fraction form
    687,931.85/949,314 = 382,027.61/x
  3. Step 3: Cross multiply
    687,931.85x = 949,314 × 382,027.61
  4. Step 4: Simplify right side
    687,931.85x = 362,664,153,812.97
  5. Step 5: Solve for x
    x = 362,664,153,812.97/687,931.85
  6. Step 6: Final answer
    x = 527,180.35

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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.