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Finding the Fourth Proportional to 474,951.52, 655,425.16 and 257,158.40

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Solution

The fourth proportional to 474,951.52, 655,425.16 and 257,158.40 is: 354,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,951.52 : 655,425.16 = 257,158.40 : x
  2. Step 2: Convert to fraction form
    474,951.52/655,425.16 = 257,158.40/x
  3. Step 3: Cross multiply
    474,951.52x = 655,425.16 × 257,158.40
  4. Step 4: Simplify right side
    474,951.52x = 168,548,085,465.34
  5. Step 5: Solve for x
    x = 168,548,085,465.34/474,951.52
  6. Step 6: Final answer
    x = 354,874.29

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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.