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Finding the Fourth Proportional to 632,167.50, 872,391.96 and 345,686.70

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Solution

The fourth proportional to 632,167.50, 872,391.96 and 345,686.70 is: 477,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,167.50 : 872,391.96 = 345,686.70 : x
  2. Step 2: Convert to fraction form
    632,167.50/872,391.96 = 345,686.70/x
  3. Step 3: Cross multiply
    632,167.50x = 872,391.96 × 345,686.70
  4. Step 4: Simplify right side
    632,167.50x = 301,574,297,758.93
  5. Step 5: Solve for x
    x = 301,574,297,758.93/632,167.50
  6. Step 6: Final answer
    x = 477,048.09

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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.