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Finding the Fourth Proportional to 296,645.76, 445,041.54 and 86,285.52

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Solution

The fourth proportional to 296,645.76, 445,041.54 and 86,285.52 is: 129,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,645.76 : 445,041.54 = 86,285.52 : x
  2. Step 2: Convert to fraction form
    296,645.76/445,041.54 = 86,285.52/x
  3. Step 3: Cross multiply
    296,645.76x = 445,041.54 × 86,285.52
  4. Step 4: Simplify right side
    296,645.76x = 38,400,640,700.50
  5. Step 5: Solve for x
    x = 38,400,640,700.50/296,645.76
  6. Step 6: Final answer
    x = 129,449.48

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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.