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Finding the Fourth Proportional to 287,342.10, 430,863.30 and 107,279.28

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Solution

The fourth proportional to 287,342.10, 430,863.30 and 107,279.28 is: 160,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,342.10 : 430,863.30 = 107,279.28 : x
  2. Step 2: Convert to fraction form
    287,342.10/430,863.30 = 107,279.28/x
  3. Step 3: Cross multiply
    287,342.10x = 430,863.30 × 107,279.28
  4. Step 4: Simplify right side
    287,342.10x = 46,222,704,602.42
  5. Step 5: Solve for x
    x = 46,222,704,602.42/287,342.10
  6. Step 6: Final answer
    x = 160,862.97

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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.