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Finding the Fourth Proportional to 452,711.80, 678,290.10 and 215,543.80

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Solution

The fourth proportional to 452,711.80, 678,290.10 and 215,543.80 is: 322,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,711.80 : 678,290.10 = 215,543.80 : x
  2. Step 2: Convert to fraction form
    452,711.80/678,290.10 = 215,543.80/x
  3. Step 3: Cross multiply
    452,711.80x = 678,290.10 × 215,543.80
  4. Step 4: Simplify right side
    452,711.80x = 146,201,225,656.38
  5. Step 5: Solve for x
    x = 146,201,225,656.38/452,711.80
  6. Step 6: Final answer
    x = 322,945.47

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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.