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Finding the Fourth Proportional to 454,604.52, 627,097.37 and 284,543.40

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Solution

The fourth proportional to 454,604.52, 627,097.37 and 284,543.40 is: 392,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,604.52 : 627,097.37 = 284,543.40 : x
  2. Step 2: Convert to fraction form
    454,604.52/627,097.37 = 284,543.40/x
  3. Step 3: Cross multiply
    454,604.52x = 627,097.37 × 284,543.40
  4. Step 4: Simplify right side
    454,604.52x = 178,436,416,368.14
  5. Step 5: Solve for x
    x = 178,436,416,368.14/454,604.52
  6. Step 6: Final answer
    x = 392,509.11

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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.