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Finding the Fourth Proportional to 287,705.35, 431,682.51 and 154,429.98

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Solution

The fourth proportional to 287,705.35, 431,682.51 and 154,429.98 is: 231,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,705.35 : 431,682.51 = 154,429.98 : x
  2. Step 2: Convert to fraction form
    287,705.35/431,682.51 = 154,429.98/x
  3. Step 3: Cross multiply
    287,705.35x = 431,682.51 × 154,429.98
  4. Step 4: Simplify right side
    287,705.35x = 66,664,720,345.95
  5. Step 5: Solve for x
    x = 66,664,720,345.95/287,705.35
  6. Step 6: Final answer
    x = 231,711.78

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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.