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Finding the Fourth Proportional to 286,068.26, 429,241.78 and 117,639.20

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Solution

The fourth proportional to 286,068.26, 429,241.78 and 117,639.20 is: 176,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,068.26 : 429,241.78 = 117,639.20 : x
  2. Step 2: Convert to fraction form
    286,068.26/429,241.78 = 117,639.20/x
  3. Step 3: Cross multiply
    286,068.26x = 429,241.78 × 117,639.20
  4. Step 4: Simplify right side
    286,068.26x = 50,495,659,605.78
  5. Step 5: Solve for x
    x = 50,495,659,605.78/286,068.26
  6. Step 6: Final answer
    x = 176,516.12

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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.