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Finding the Fourth Proportional to 514,524, 710,043.12 and 288,242.40

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Solution

The fourth proportional to 514,524, 710,043.12 and 288,242.40 is: 397,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,524 : 710,043.12 = 288,242.40 : x
  2. Step 2: Convert to fraction form
    514,524/710,043.12 = 288,242.40/x
  3. Step 3: Cross multiply
    514,524x = 710,043.12 × 288,242.40
  4. Step 4: Simplify right side
    514,524x = 204,664,533,012.29
  5. Step 5: Solve for x
    x = 204,664,533,012.29/514,524
  6. Step 6: Final answer
    x = 397,774.51

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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.