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Finding the Fourth Proportional to 287,152.75, 430,729.10 and 76,785.22

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Solution

The fourth proportional to 287,152.75, 430,729.10 and 76,785.22 is: 115,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,152.75 : 430,729.10 = 76,785.22 : x
  2. Step 2: Convert to fraction form
    287,152.75/430,729.10 = 76,785.22/x
  3. Step 3: Cross multiply
    287,152.75x = 430,729.10 × 76,785.22
  4. Step 4: Simplify right side
    287,152.75x = 33,073,628,703.90
  5. Step 5: Solve for x
    x = 33,073,628,703.90/287,152.75
  6. Step 6: Final answer
    x = 115,177.82

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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.