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Finding the Fourth Proportional to 287,129.81, 430,661.88 and 76,784.15

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Solution

The fourth proportional to 287,129.81, 430,661.88 and 76,784.15 is: 115,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,129.81 : 430,661.88 = 76,784.15 : x
  2. Step 2: Convert to fraction form
    287,129.81/430,661.88 = 76,784.15/x
  3. Step 3: Cross multiply
    287,129.81x = 430,661.88 × 76,784.15
  4. Step 4: Simplify right side
    287,129.81x = 33,068,007,469.86
  5. Step 5: Solve for x
    x = 33,068,007,469.86/287,129.81
  6. Step 6: Final answer
    x = 115,167.45

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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.