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Finding the Fourth Proportional to 287,321.65, 430,982.20 and 76,953.85

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Solution

The fourth proportional to 287,321.65, 430,982.20 and 76,953.85 is: 115,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,321.65 : 430,982.20 = 76,953.85 : x
  2. Step 2: Convert to fraction form
    287,321.65/430,982.20 = 76,953.85/x
  3. Step 3: Cross multiply
    287,321.65x = 430,982.20 × 76,953.85
  4. Step 4: Simplify right side
    287,321.65x = 33,165,739,571.47
  5. Step 5: Solve for x
    x = 33,165,739,571.47/287,321.65
  6. Step 6: Final answer
    x = 115,430.70

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1.5x scale

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.