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Finding the Fourth Proportional to 287,002.34, 430,347.18 and 185,786.78

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Solution

The fourth proportional to 287,002.34, 430,347.18 and 185,786.78 is: 278,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,002.34 : 430,347.18 = 185,786.78 : x
  2. Step 2: Convert to fraction form
    287,002.34/430,347.18 = 185,786.78/x
  3. Step 3: Cross multiply
    287,002.34x = 430,347.18 × 185,786.78
  4. Step 4: Simplify right side
    287,002.34x = 79,952,816,854.28
  5. Step 5: Solve for x
    x = 79,952,816,854.28/287,002.34
  6. Step 6: Final answer
    x = 278,578.97

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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.