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Finding the Fourth Proportional to 390,510.91, 538,890.33 and 220,748.68

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Solution

The fourth proportional to 390,510.91, 538,890.33 and 220,748.68 is: 304,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,510.91 : 538,890.33 = 220,748.68 : x
  2. Step 2: Convert to fraction form
    390,510.91/538,890.33 = 220,748.68/x
  3. Step 3: Cross multiply
    390,510.91x = 538,890.33 × 220,748.68
  4. Step 4: Simplify right side
    390,510.91x = 118,959,329,012.26
  5. Step 5: Solve for x
    x = 118,959,329,012.26/390,510.91
  6. Step 6: Final answer
    x = 304,624.85

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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.