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Finding the Fourth Proportional to 287,320.65, 430,980.70 and 76,952.85

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Solution

The fourth proportional to 287,320.65, 430,980.70 and 76,952.85 is: 115,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,320.65 : 430,980.70 = 76,952.85 : x
  2. Step 2: Convert to fraction form
    287,320.65/430,980.70 = 76,952.85/x
  3. Step 3: Cross multiply
    287,320.65x = 430,980.70 × 76,952.85
  4. Step 4: Simplify right side
    287,320.65x = 33,165,193,160.00
  5. Step 5: Solve for x
    x = 33,165,193,160.00/287,320.65
  6. Step 6: Final answer
    x = 115,429.20

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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.