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Finding the Fourth Proportional to 560,583.42, 840,375.15 and 205,514.65

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Solution

The fourth proportional to 560,583.42, 840,375.15 and 205,514.65 is: 308,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,583.42 : 840,375.15 = 205,514.65 : x
  2. Step 2: Convert to fraction form
    560,583.42/840,375.15 = 205,514.65/x
  3. Step 3: Cross multiply
    560,583.42x = 840,375.15 × 205,514.65
  4. Step 4: Simplify right side
    560,583.42x = 172,709,404,820.95
  5. Step 5: Solve for x
    x = 172,709,404,820.95/560,583.42
  6. Step 6: Final answer
    x = 308,088.68

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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.