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Finding the Fourth Proportional to 784,278, 1,176,591.96 and 285,642

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Solution

The fourth proportional to 784,278, 1,176,591.96 and 285,642 is: 428,526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,278 : 1,176,591.96 = 285,642 : x
  2. Step 2: Convert to fraction form
    784,278/1,176,591.96 = 285,642/x
  3. Step 3: Cross multiply
    784,278x = 1,176,591.96 × 285,642
  4. Step 4: Simplify right side
    784,278x = 336,084,080,638.32
  5. Step 5: Solve for x
    x = 336,084,080,638.32/784,278
  6. Step 6: Final answer
    x = 428,526.72

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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.