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Finding the Fourth Proportional to 514,879.88, 710,553.54 and 288,517

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Solution

The fourth proportional to 514,879.88, 710,553.54 and 288,517 is: 398,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,879.88 : 710,553.54 = 288,517 : x
  2. Step 2: Convert to fraction form
    514,879.88/710,553.54 = 288,517/x
  3. Step 3: Cross multiply
    514,879.88x = 710,553.54 × 288,517
  4. Step 4: Simplify right side
    514,879.88x = 205,006,775,700.18
  5. Step 5: Solve for x
    x = 205,006,775,700.18/514,879.88
  6. Step 6: Final answer
    x = 398,164.28

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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.