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Finding the Fourth Proportional to 315,474.54, 435,356.34 and 172,237.86

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Solution

The fourth proportional to 315,474.54, 435,356.34 and 172,237.86 is: 237,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,474.54 : 435,356.34 = 172,237.86 : x
  2. Step 2: Convert to fraction form
    315,474.54/435,356.34 = 172,237.86/x
  3. Step 3: Cross multiply
    315,474.54x = 435,356.34 × 172,237.86
  4. Step 4: Simplify right side
    315,474.54x = 74,984,844,339.03
  5. Step 5: Solve for x
    x = 74,984,844,339.03/315,474.54
  6. Step 6: Final answer
    x = 237,689.05

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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.