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Finding the Fourth Proportional to 767,956, 1,059,776.24 and 428,423.84

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Solution

The fourth proportional to 767,956, 1,059,776.24 and 428,423.84 is: 591,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,956 : 1,059,776.24 = 428,423.84 : x
  2. Step 2: Convert to fraction form
    767,956/1,059,776.24 = 428,423.84/x
  3. Step 3: Cross multiply
    767,956x = 1,059,776.24 × 428,423.84
  4. Step 4: Simplify right side
    767,956x = 454,033,406,281.56
  5. Step 5: Solve for x
    x = 454,033,406,281.56/767,956
  6. Step 6: Final answer
    x = 591,223.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.