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Finding the Fourth Proportional to 296,443.81, 444,678.01 and 86,081.74

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Solution

The fourth proportional to 296,443.81, 444,678.01 and 86,081.74 is: 129,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,443.81 : 444,678.01 = 86,081.74 : x
  2. Step 2: Convert to fraction form
    296,443.81/444,678.01 = 86,081.74/x
  3. Step 3: Cross multiply
    296,443.81x = 444,678.01 × 86,081.74
  4. Step 4: Simplify right side
    296,443.81x = 38,278,657,521.82
  5. Step 5: Solve for x
    x = 38,278,657,521.82/296,443.81
  6. Step 6: Final answer
    x = 129,126.18

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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.