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Finding the Fourth Proportional to 287,680.40, 431,482.80 and 88,020.80

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Solution

The fourth proportional to 287,680.40, 431,482.80 and 88,020.80 is: 132,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,680.40 : 431,482.80 = 88,020.80 : x
  2. Step 2: Convert to fraction form
    287,680.40/431,482.80 = 88,020.80/x
  3. Step 3: Cross multiply
    287,680.40x = 431,482.80 × 88,020.80
  4. Step 4: Simplify right side
    287,680.40x = 37,979,461,242.24
  5. Step 5: Solve for x
    x = 37,979,461,242.24/287,680.40
  6. Step 6: Final answer
    x = 132,019.63

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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.