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Finding the Fourth Proportional to 287,152.63, 430,728.91 and 76,785.10

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Solution

The fourth proportional to 287,152.63, 430,728.91 and 76,785.10 is: 115,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,152.63 : 430,728.91 = 76,785.10 : x
  2. Step 2: Convert to fraction form
    287,152.63/430,728.91 = 76,785.10/x
  3. Step 3: Cross multiply
    287,152.63x = 430,728.91 × 76,785.10
  4. Step 4: Simplify right side
    287,152.63x = 33,073,561,158.46
  5. Step 5: Solve for x
    x = 33,073,561,158.46/287,152.63
  6. Step 6: Final answer
    x = 115,177.64

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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.