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Finding the Fourth Proportional to 321,515.07, 482,267.58 and 78,358.92

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Solution

The fourth proportional to 321,515.07, 482,267.58 and 78,358.92 is: 117,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,515.07 : 482,267.58 = 78,358.92 : x
  2. Step 2: Convert to fraction form
    321,515.07/482,267.58 = 78,358.92/x
  3. Step 3: Cross multiply
    321,515.07x = 482,267.58 × 78,358.92
  4. Step 4: Simplify right side
    321,515.07x = 37,789,966,719.81
  5. Step 5: Solve for x
    x = 37,789,966,719.81/321,515.07
  6. Step 6: Final answer
    x = 117,537.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.