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Finding the Fourth Proportional to 286,175.64, 429,280.64 and 75,813

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Solution

The fourth proportional to 286,175.64, 429,280.64 and 75,813 is: 113,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,175.64 : 429,280.64 = 75,813 : x
  2. Step 2: Convert to fraction form
    286,175.64/429,280.64 = 75,813/x
  3. Step 3: Cross multiply
    286,175.64x = 429,280.64 × 75,813
  4. Step 4: Simplify right side
    286,175.64x = 32,545,053,160.32
  5. Step 5: Solve for x
    x = 32,545,053,160.32/286,175.64
  6. Step 6: Final answer
    x = 113,724.05

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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.