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Finding the Fourth Proportional to 315,887.12, 435,931.20 and 172,656.44

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Solution

The fourth proportional to 315,887.12, 435,931.20 and 172,656.44 is: 238,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,887.12 : 435,931.20 = 172,656.44 : x
  2. Step 2: Convert to fraction form
    315,887.12/435,931.20 = 172,656.44/x
  3. Step 3: Cross multiply
    315,887.12x = 435,931.20 × 172,656.44
  4. Step 4: Simplify right side
    315,887.12x = 75,266,329,076.93
  5. Step 5: Solve for x
    x = 75,266,329,076.93/315,887.12
  6. Step 6: Final answer
    x = 238,269.70

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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.