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Finding the Fourth Proportional to 287,648.64, 431,667.32 and 100,661.76

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Solution

The fourth proportional to 287,648.64, 431,667.32 and 100,661.76 is: 151,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,648.64 : 431,667.32 = 100,661.76 : x
  2. Step 2: Convert to fraction form
    287,648.64/431,667.32 = 100,661.76/x
  3. Step 3: Cross multiply
    287,648.64x = 431,667.32 × 100,661.76
  4. Step 4: Simplify right side
    287,648.64x = 43,452,392,165.68
  5. Step 5: Solve for x
    x = 43,452,392,165.68/287,648.64
  6. Step 6: Final answer
    x = 151,060.66

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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.