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Finding the Fourth Proportional to 560,567.68, 840,351.52 and 205,498.80

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Solution

The fourth proportional to 560,567.68, 840,351.52 and 205,498.80 is: 308,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,567.68 : 840,351.52 = 205,498.80 : x
  2. Step 2: Convert to fraction form
    560,567.68/840,351.52 = 205,498.80/x
  3. Step 3: Cross multiply
    560,567.68x = 840,351.52 × 205,498.80
  4. Step 4: Simplify right side
    560,567.68x = 172,691,228,938.18
  5. Step 5: Solve for x
    x = 172,691,228,938.18/560,567.68
  6. Step 6: Final answer
    x = 308,064.90

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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.