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Finding the Fourth Proportional to 315,187.77, 434,951.82 and 171,952.86

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Solution

The fourth proportional to 315,187.77, 434,951.82 and 171,952.86 is: 237,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,187.77 : 434,951.82 = 171,952.86 : x
  2. Step 2: Convert to fraction form
    315,187.77/434,951.82 = 171,952.86/x
  3. Step 3: Cross multiply
    315,187.77x = 434,951.82 × 171,952.86
  4. Step 4: Simplify right side
    315,187.77x = 74,791,209,411.21
  5. Step 5: Solve for x
    x = 74,791,209,411.21/315,187.77
  6. Step 6: Final answer
    x = 237,290.96

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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.