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Finding the Fourth Proportional to 255,708.89, 383,501.72 and 78,217.43

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Solution

The fourth proportional to 255,708.89, 383,501.72 and 78,217.43 is: 117,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,708.89 : 383,501.72 = 78,217.43 : x
  2. Step 2: Convert to fraction form
    255,708.89/383,501.72 = 78,217.43/x
  3. Step 3: Cross multiply
    255,708.89x = 383,501.72 × 78,217.43
  4. Step 4: Simplify right side
    255,708.89x = 29,996,516,630.38
  5. Step 5: Solve for x
    x = 29,996,516,630.38/255,708.89
  6. Step 6: Final answer
    x = 117,307.29

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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.