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Finding the Fourth Proportional to 287,210.75, 430,816.14 and 76,843.22

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Solution

The fourth proportional to 287,210.75, 430,816.14 and 76,843.22 is: 115,264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,210.75 : 430,816.14 = 76,843.22 : x
  2. Step 2: Convert to fraction form
    287,210.75/430,816.14 = 76,843.22/x
  3. Step 3: Cross multiply
    287,210.75x = 430,816.14 × 76,843.22
  4. Step 4: Simplify right side
    287,210.75x = 33,105,299,425.57
  5. Step 5: Solve for x
    x = 33,105,299,425.57/287,210.75
  6. Step 6: Final answer
    x = 115,264.83

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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.