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Finding the Fourth Proportional to 442,755.50, 664,133.25 and 147,267.50

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Solution

The fourth proportional to 442,755.50, 664,133.25 and 147,267.50 is: 220,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,755.50 : 664,133.25 = 147,267.50 : x
  2. Step 2: Convert to fraction form
    442,755.50/664,133.25 = 147,267.50/x
  3. Step 3: Cross multiply
    442,755.50x = 664,133.25 × 147,267.50
  4. Step 4: Simplify right side
    442,755.50x = 97,805,243,394.38
  5. Step 5: Solve for x
    x = 97,805,243,394.38/442,755.50
  6. Step 6: Final answer
    x = 220,901.25

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1.5x scale

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.