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Finding the Fourth Proportional to 452,184.30, 678,276.45 and 185,807.70

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Solution

The fourth proportional to 452,184.30, 678,276.45 and 185,807.70 is: 278,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,184.30 : 678,276.45 = 185,807.70 : x
  2. Step 2: Convert to fraction form
    452,184.30/678,276.45 = 185,807.70/x
  3. Step 3: Cross multiply
    452,184.30x = 678,276.45 × 185,807.70
  4. Step 4: Simplify right side
    452,184.30x = 126,028,987,138.67
  5. Step 5: Solve for x
    x = 126,028,987,138.67/452,184.30
  6. Step 6: Final answer
    x = 278,711.55

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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.