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Finding the Fourth Proportional to 784,597, 1,177,070.46 and 285,961

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Solution

The fourth proportional to 784,597, 1,177,070.46 and 285,961 is: 429,005.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,597 : 1,177,070.46 = 285,961 : x
  2. Step 2: Convert to fraction form
    784,597/1,177,070.46 = 285,961/x
  3. Step 3: Cross multiply
    784,597x = 1,177,070.46 × 285,961
  4. Step 4: Simplify right side
    784,597x = 336,596,245,812.06
  5. Step 5: Solve for x
    x = 336,596,245,812.06/784,597
  6. Step 6: Final answer
    x = 429,005.27

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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.