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Finding the Fourth Proportional to 514,694.49, 710,306.72 and 285,247

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Solution

The fourth proportional to 514,694.49, 710,306.72 and 285,247 is: 393,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,694.49 : 710,306.72 = 285,247 : x
  2. Step 2: Convert to fraction form
    514,694.49/710,306.72 = 285,247/x
  3. Step 3: Cross multiply
    514,694.49x = 710,306.72 × 285,247
  4. Step 4: Simplify right side
    514,694.49x = 202,612,860,959.84
  5. Step 5: Solve for x
    x = 202,612,860,959.84/514,694.49
  6. Step 6: Final answer
    x = 393,656.56

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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.