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Finding the Fourth Proportional to 611,813.80, 916,824.30 and 548,633.80

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Solution

The fourth proportional to 611,813.80, 916,824.30 and 548,633.80 is: 822,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,813.80 : 916,824.30 = 548,633.80 : x
  2. Step 2: Convert to fraction form
    611,813.80/916,824.30 = 548,633.80/x
  3. Step 3: Cross multiply
    611,813.80x = 916,824.30 × 548,633.80
  4. Step 4: Simplify right side
    611,813.80x = 503,000,799,641.34
  5. Step 5: Solve for x
    x = 503,000,799,641.34/611,813.80
  6. Step 6: Final answer
    x = 822,146.87

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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.