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Finding the Fourth Proportional to 512,451.31, 707,269.34 and 297,715.93

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Solution

The fourth proportional to 512,451.31, 707,269.34 and 297,715.93 is: 410,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,451.31 : 707,269.34 = 297,715.93 : x
  2. Step 2: Convert to fraction form
    512,451.31/707,269.34 = 297,715.93/x
  3. Step 3: Cross multiply
    512,451.31x = 707,269.34 × 297,715.93
  4. Step 4: Simplify right side
    512,451.31x = 210,565,349,318.59
  5. Step 5: Solve for x
    x = 210,565,349,318.59/512,451.31
  6. Step 6: Final answer
    x = 410,898.26

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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.