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Finding the Fourth Proportional to 286,523.71, 429,871.42 and 115,657.45

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Solution

The fourth proportional to 286,523.71, 429,871.42 and 115,657.45 is: 173,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,523.71 : 429,871.42 = 115,657.45 : x
  2. Step 2: Convert to fraction form
    286,523.71/429,871.42 = 115,657.45/x
  3. Step 3: Cross multiply
    286,523.71x = 429,871.42 × 115,657.45
  4. Step 4: Simplify right side
    286,523.71x = 49,717,831,334.97
  5. Step 5: Solve for x
    x = 49,717,831,334.97/286,523.71
  6. Step 6: Final answer
    x = 173,520.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.