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Finding the Fourth Proportional to 287,670.21, 431,508.96 and 110,187.87

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Solution

The fourth proportional to 287,670.21, 431,508.96 and 110,187.87 is: 165,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,670.21 : 431,508.96 = 110,187.87 : x
  2. Step 2: Convert to fraction form
    287,670.21/431,508.96 = 110,187.87/x
  3. Step 3: Cross multiply
    287,670.21x = 431,508.96 × 110,187.87
  4. Step 4: Simplify right side
    287,670.21x = 47,547,053,188.32
  5. Step 5: Solve for x
    x = 47,547,053,188.32/287,670.21
  6. Step 6: Final answer
    x = 165,283.20

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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.