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Finding the Fourth Proportional to 315,070.74, 434,780.28 and 179,085.78

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Solution

The fourth proportional to 315,070.74, 434,780.28 and 179,085.78 is: 247,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,070.74 : 434,780.28 = 179,085.78 : x
  2. Step 2: Convert to fraction form
    315,070.74/434,780.28 = 179,085.78/x
  3. Step 3: Cross multiply
    315,070.74x = 434,780.28 × 179,085.78
  4. Step 4: Simplify right side
    315,070.74x = 77,862,965,572.42
  5. Step 5: Solve for x
    x = 77,862,965,572.42/315,070.74
  6. Step 6: Final answer
    x = 247,128.52

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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.