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Finding the Fourth Proportional to 514,878.88, 710,552.16 and 288,516

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Solution

The fourth proportional to 514,878.88, 710,552.16 and 288,516 is: 398,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,878.88 : 710,552.16 = 288,516 : x
  2. Step 2: Convert to fraction form
    514,878.88/710,552.16 = 288,516/x
  3. Step 3: Cross multiply
    514,878.88x = 710,552.16 × 288,516
  4. Step 4: Simplify right side
    514,878.88x = 205,005,666,994.56
  5. Step 5: Solve for x
    x = 205,005,666,994.56/514,878.88
  6. Step 6: Final answer
    x = 398,162.90

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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.