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Finding the Fourth Proportional to 232,330.98, 320,715 and 156,981.54

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Solution

The fourth proportional to 232,330.98, 320,715 and 156,981.54 is: 216,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,330.98 : 320,715 = 156,981.54 : x
  2. Step 2: Convert to fraction form
    232,330.98/320,715 = 156,981.54/x
  3. Step 3: Cross multiply
    232,330.98x = 320,715 × 156,981.54
  4. Step 4: Simplify right side
    232,330.98x = 50,346,334,601.10
  5. Step 5: Solve for x
    x = 50,346,334,601.10/232,330.98
  6. Step 6: Final answer
    x = 216,700.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.