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Finding the Fourth Proportional to 512,347.16, 707,238.46 and 458,538.72

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Solution

The fourth proportional to 512,347.16, 707,238.46 and 458,538.72 is: 632,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,347.16 : 707,238.46 = 458,538.72 : x
  2. Step 2: Convert to fraction form
    512,347.16/707,238.46 = 458,538.72/x
  3. Step 3: Cross multiply
    512,347.16x = 707,238.46 × 458,538.72
  4. Step 4: Simplify right side
    512,347.16x = 324,296,218,756.35
  5. Step 5: Solve for x
    x = 324,296,218,756.35/512,347.16
  6. Step 6: Final answer
    x = 632,961.88

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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.