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Finding the Fourth Proportional to 287,004.87, 430,473.69 and 76,659.21

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Solution

The fourth proportional to 287,004.87, 430,473.69 and 76,659.21 is: 114,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,004.87 : 430,473.69 = 76,659.21 : x
  2. Step 2: Convert to fraction form
    287,004.87/430,473.69 = 76,659.21/x
  3. Step 3: Cross multiply
    287,004.87x = 430,473.69 × 76,659.21
  4. Step 4: Simplify right side
    287,004.87x = 32,999,773,001.18
  5. Step 5: Solve for x
    x = 32,999,773,001.18/287,004.87
  6. Step 6: Final answer
    x = 114,979.84

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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.