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Finding the Fourth Proportional to 315,135.40, 434,876.10 and 187,808.68

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Solution

The fourth proportional to 315,135.40, 434,876.10 and 187,808.68 is: 259,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,135.40 : 434,876.10 = 187,808.68 : x
  2. Step 2: Convert to fraction form
    315,135.40/434,876.10 = 187,808.68/x
  3. Step 3: Cross multiply
    315,135.40x = 434,876.10 × 187,808.68
  4. Step 4: Simplify right side
    315,135.40x = 81,673,506,304.55
  5. Step 5: Solve for x
    x = 81,673,506,304.55/315,135.40
  6. Step 6: Final answer
    x = 259,169.57

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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.