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Finding the Fourth Proportional to 287,715.95, 431,698.31 and 154,440.57

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Solution

The fourth proportional to 287,715.95, 431,698.31 and 154,440.57 is: 231,727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,715.95 : 431,698.31 = 154,440.57 : x
  2. Step 2: Convert to fraction form
    287,715.95/431,698.31 = 154,440.57/x
  3. Step 3: Cross multiply
    287,715.95x = 431,698.31 × 154,440.57
  4. Step 4: Simplify right side
    287,715.95x = 66,671,734,490.25
  5. Step 5: Solve for x
    x = 66,671,734,490.25/287,715.95
  6. Step 6: Final answer
    x = 231,727.63

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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.