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Finding the Fourth Proportional to 514,633.70, 710,186.72 and 288,287.30

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Solution

The fourth proportional to 514,633.70, 710,186.72 and 288,287.30 is: 397,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,633.70 : 710,186.72 = 288,287.30 : x
  2. Step 2: Convert to fraction form
    514,633.70/710,186.72 = 288,287.30/x
  3. Step 3: Cross multiply
    514,633.70x = 710,186.72 × 288,287.30
  4. Step 4: Simplify right side
    514,633.70x = 204,737,812,004.66
  5. Step 5: Solve for x
    x = 204,737,812,004.66/514,633.70
  6. Step 6: Final answer
    x = 397,832.11

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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.