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Finding the Fourth Proportional to 287,925.80, 431,694.30 and 153,012.20

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Solution

The fourth proportional to 287,925.80, 431,694.30 and 153,012.20 is: 229,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,925.80 : 431,694.30 = 153,012.20 : x
  2. Step 2: Convert to fraction form
    287,925.80/431,694.30 = 153,012.20/x
  3. Step 3: Cross multiply
    287,925.80x = 431,694.30 × 153,012.20
  4. Step 4: Simplify right side
    287,925.80x = 66,054,494,570.46
  5. Step 5: Solve for x
    x = 66,054,494,570.46/287,925.80
  6. Step 6: Final answer
    x = 229,414.99

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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.