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Finding the Fourth Proportional to 584,064.80, 805,857.10 and 342,217.43

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Solution

The fourth proportional to 584,064.80, 805,857.10 and 342,217.43 is: 472,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,064.80 : 805,857.10 = 342,217.43 : x
  2. Step 2: Convert to fraction form
    584,064.80/805,857.10 = 342,217.43/x
  3. Step 3: Cross multiply
    584,064.80x = 805,857.10 × 342,217.43
  4. Step 4: Simplify right side
    584,064.80x = 275,778,341,679.97
  5. Step 5: Solve for x
    x = 275,778,341,679.97/584,064.80
  6. Step 6: Final answer
    x = 472,170.80

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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.