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Finding the Fourth Proportional to 581,942.70, 803,449.89 and 398,488.26

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Solution

The fourth proportional to 581,942.70, 803,449.89 and 398,488.26 is: 550,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,942.70 : 803,449.89 = 398,488.26 : x
  2. Step 2: Convert to fraction form
    581,942.70/803,449.89 = 398,488.26/x
  3. Step 3: Cross multiply
    581,942.70x = 803,449.89 × 398,488.26
  4. Step 4: Simplify right side
    581,942.70x = 320,165,348,663.29
  5. Step 5: Solve for x
    x = 320,165,348,663.29/581,942.70
  6. Step 6: Final answer
    x = 550,166.45

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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.