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Finding the Fourth Proportional to 287,494.86, 431,215.29 and 135,656.58

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Solution

The fourth proportional to 287,494.86, 431,215.29 and 135,656.58 is: 203,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,494.86 : 431,215.29 = 135,656.58 : x
  2. Step 2: Convert to fraction form
    287,494.86/431,215.29 = 135,656.58/x
  3. Step 3: Cross multiply
    287,494.86x = 431,215.29 × 135,656.58
  4. Step 4: Simplify right side
    287,494.86x = 58,497,191,485.11
  5. Step 5: Solve for x
    x = 58,497,191,485.11/287,494.86
  6. Step 6: Final answer
    x = 203,472.13

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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.