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Finding the Fourth Proportional to 296,743.50, 445,116.06 and 86,386.50

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Solution

The fourth proportional to 296,743.50, 445,116.06 and 86,386.50 is: 129,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,743.50 : 445,116.06 = 86,386.50 : x
  2. Step 2: Convert to fraction form
    296,743.50/445,116.06 = 86,386.50/x
  3. Step 3: Cross multiply
    296,743.50x = 445,116.06 × 86,386.50
  4. Step 4: Simplify right side
    296,743.50x = 38,452,018,517.19
  5. Step 5: Solve for x
    x = 38,452,018,517.19/296,743.50
  6. Step 6: Final answer
    x = 129,579.99

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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.