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Finding the Fourth Proportional to 454,686.48, 682,129.62 and 139,167.72

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Solution

The fourth proportional to 454,686.48, 682,129.62 and 139,167.72 is: 208,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,686.48 : 682,129.62 = 139,167.72 : x
  2. Step 2: Convert to fraction form
    454,686.48/682,129.62 = 139,167.72/x
  3. Step 3: Cross multiply
    454,686.48x = 682,129.62 × 139,167.72
  4. Step 4: Simplify right side
    454,686.48x = 94,930,423,959.87
  5. Step 5: Solve for x
    x = 94,930,423,959.87/454,686.48
  6. Step 6: Final answer
    x = 208,782.16

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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.