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Finding the Fourth Proportional to 230,491.52, 317,866.92 and 157,999.76

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Solution

The fourth proportional to 230,491.52, 317,866.92 and 157,999.76 is: 217,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,491.52 : 317,866.92 = 157,999.76 : x
  2. Step 2: Convert to fraction form
    230,491.52/317,866.92 = 157,999.76/x
  3. Step 3: Cross multiply
    230,491.52x = 317,866.92 × 157,999.76
  4. Step 4: Simplify right side
    230,491.52x = 50,222,897,071.94
  5. Step 5: Solve for x
    x = 50,222,897,071.94/230,491.52
  6. Step 6: Final answer
    x = 217,894.77

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1.5x scale

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.