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Finding the Fourth Proportional to 285,870.80, 428,826.84 and 75,506

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Solution

The fourth proportional to 285,870.80, 428,826.84 and 75,506 is: 113,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,870.80 : 428,826.84 = 75,506 : x
  2. Step 2: Convert to fraction form
    285,870.80/428,826.84 = 75,506/x
  3. Step 3: Cross multiply
    285,870.80x = 428,826.84 × 75,506
  4. Step 4: Simplify right side
    285,870.80x = 32,378,999,381.04
  5. Step 5: Solve for x
    x = 32,378,999,381.04/285,870.80
  6. Step 6: Final answer
    x = 113,264.45

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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.