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Finding the Fourth Proportional to 510,374.18, 704,318.88 and 280,954.44

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Solution

The fourth proportional to 510,374.18, 704,318.88 and 280,954.44 is: 387,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,374.18 : 704,318.88 = 280,954.44 : x
  2. Step 2: Convert to fraction form
    510,374.18/704,318.88 = 280,954.44/x
  3. Step 3: Cross multiply
    510,374.18x = 704,318.88 × 280,954.44
  4. Step 4: Simplify right side
    510,374.18x = 197,881,516,511.83
  5. Step 5: Solve for x
    x = 197,881,516,511.83/510,374.18
  6. Step 6: Final answer
    x = 387,718.51

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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.