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Finding the Fourth Proportional to 501,267.84, 752,000.13 and 220,785

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Solution

The fourth proportional to 501,267.84, 752,000.13 and 220,785 is: 331,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,267.84 : 752,000.13 = 220,785 : x
  2. Step 2: Convert to fraction form
    501,267.84/752,000.13 = 220,785/x
  3. Step 3: Cross multiply
    501,267.84x = 752,000.13 × 220,785
  4. Step 4: Simplify right side
    501,267.84x = 166,030,348,702.05
  5. Step 5: Solve for x
    x = 166,030,348,702.05/501,267.84
  6. Step 6: Final answer
    x = 331,220.83

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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.