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Finding the Fourth Proportional to 457,894.60, 686,701.32 and 316,647.55

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Solution

The fourth proportional to 457,894.60, 686,701.32 and 316,647.55 is: 474,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,894.60 : 686,701.32 = 316,647.55 : x
  2. Step 2: Convert to fraction form
    457,894.60/686,701.32 = 316,647.55/x
  3. Step 3: Cross multiply
    457,894.60x = 686,701.32 × 316,647.55
  4. Step 4: Simplify right side
    457,894.60x = 217,442,290,559.77
  5. Step 5: Solve for x
    x = 217,442,290,559.77/457,894.60
  6. Step 6: Final answer
    x = 474,874.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.