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Finding the Fourth Proportional to 514,938, 710,658.18 and 288,627.24

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Solution

The fourth proportional to 514,938, 710,658.18 and 288,627.24 is: 398,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,938 : 710,658.18 = 288,627.24 : x
  2. Step 2: Convert to fraction form
    514,938/710,658.18 = 288,627.24/x
  3. Step 3: Cross multiply
    514,938x = 710,658.18 × 288,627.24
  4. Step 4: Simplify right side
    514,938x = 205,115,309,076.82
  5. Step 5: Solve for x
    x = 205,115,309,076.82/514,938
  6. Step 6: Final answer
    x = 398,330.11

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1.5x scale

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.