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Finding the Fourth Proportional to 512,544.32, 707,123.76 and 321,488

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Solution

The fourth proportional to 512,544.32, 707,123.76 and 321,488 is: 443,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,544.32 : 707,123.76 = 321,488 : x
  2. Step 2: Convert to fraction form
    512,544.32/707,123.76 = 321,488/x
  3. Step 3: Cross multiply
    512,544.32x = 707,123.76 × 321,488
  4. Step 4: Simplify right side
    512,544.32x = 227,331,803,354.88
  5. Step 5: Solve for x
    x = 227,331,803,354.88/512,544.32
  6. Step 6: Final answer
    x = 443,535.89

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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.