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Finding the Fourth Proportional to 287,648.04, 431,471.72 and 77,285.98

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Solution

The fourth proportional to 287,648.04, 431,471.72 and 77,285.98 is: 115,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,648.04 : 431,471.72 = 77,285.98 : x
  2. Step 2: Convert to fraction form
    287,648.04/431,471.72 = 77,285.98/x
  3. Step 3: Cross multiply
    287,648.04x = 431,471.72 × 77,285.98
  4. Step 4: Simplify right side
    287,648.04x = 33,346,714,722.49
  5. Step 5: Solve for x
    x = 33,346,714,722.49/287,648.04
  6. Step 6: Final answer
    x = 115,928.88

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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.