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Finding the Fourth Proportional to 442,013.19, 662,724.50 and 138,304.50

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Solution

The fourth proportional to 442,013.19, 662,724.50 and 138,304.50 is: 207,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,013.19 : 662,724.50 = 138,304.50 : x
  2. Step 2: Convert to fraction form
    442,013.19/662,724.50 = 138,304.50/x
  3. Step 3: Cross multiply
    442,013.19x = 662,724.50 × 138,304.50
  4. Step 4: Simplify right side
    442,013.19x = 91,657,779,918.73
  5. Step 5: Solve for x
    x = 91,657,779,918.73/442,013.19
  6. Step 6: Final answer
    x = 207,364.35

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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.