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Finding the Fourth Proportional to 421,718.58, 581,970.96 and 230,732.73

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Solution

The fourth proportional to 421,718.58, 581,970.96 and 230,732.73 is: 318,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,718.58 : 581,970.96 = 230,732.73 : x
  2. Step 2: Convert to fraction form
    421,718.58/581,970.96 = 230,732.73/x
  3. Step 3: Cross multiply
    421,718.58x = 581,970.96 × 230,732.73
  4. Step 4: Simplify right side
    421,718.58x = 134,279,748,381.52
  5. Step 5: Solve for x
    x = 134,279,748,381.52/421,718.58
  6. Step 6: Final answer
    x = 318,410.80

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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.