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Finding the Fourth Proportional to 512,732.36, 707,566.48 and 283,288.93

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Solution

The fourth proportional to 512,732.36, 707,566.48 and 283,288.93 is: 390,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,732.36 : 707,566.48 = 283,288.93 : x
  2. Step 2: Convert to fraction form
    512,732.36/707,566.48 = 283,288.93/x
  3. Step 3: Cross multiply
    512,732.36x = 707,566.48 × 283,288.93
  4. Step 4: Simplify right side
    512,732.36x = 200,445,748,545.93
  5. Step 5: Solve for x
    x = 200,445,748,545.93/512,732.36
  6. Step 6: Final answer
    x = 390,936.41

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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.