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Finding the Fourth Proportional to 530,368.80, 731,986.10 and 297,821.85

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Solution

The fourth proportional to 530,368.80, 731,986.10 and 297,821.85 is: 411,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,368.80 : 731,986.10 = 297,821.85 : x
  2. Step 2: Convert to fraction form
    530,368.80/731,986.10 = 297,821.85/x
  3. Step 3: Cross multiply
    530,368.80x = 731,986.10 × 297,821.85
  4. Step 4: Simplify right side
    530,368.80x = 218,001,454,476.29
  5. Step 5: Solve for x
    x = 218,001,454,476.29/530,368.80
  6. Step 6: Final answer
    x = 411,037.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.