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Finding the Fourth Proportional to 503,280.68, 694,486.51 and 288,439.52

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Solution

The fourth proportional to 503,280.68, 694,486.51 and 288,439.52 is: 398,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,280.68 : 694,486.51 = 288,439.52 : x
  2. Step 2: Convert to fraction form
    503,280.68/694,486.51 = 288,439.52/x
  3. Step 3: Cross multiply
    503,280.68x = 694,486.51 × 288,439.52
  4. Step 4: Simplify right side
    503,280.68x = 200,317,351,397.34
  5. Step 5: Solve for x
    x = 200,317,351,397.34/503,280.68
  6. Step 6: Final answer
    x = 398,023.13

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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.