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Finding the Fourth Proportional to 315,525.86, 435,423.41 and 172,285.78

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Solution

The fourth proportional to 315,525.86, 435,423.41 and 172,285.78 is: 237,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,525.86 : 435,423.41 = 172,285.78 : x
  2. Step 2: Convert to fraction form
    315,525.86/435,423.41 = 172,285.78/x
  3. Step 3: Cross multiply
    315,525.86x = 435,423.41 × 172,285.78
  4. Step 4: Simplify right side
    315,525.86x = 75,017,261,822.11
  5. Step 5: Solve for x
    x = 75,017,261,822.11/315,525.86
  6. Step 6: Final answer
    x = 237,753.13

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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.