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Finding the Fourth Proportional to 560,031.30, 839,896.29 and 205,047.18

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Solution

The fourth proportional to 560,031.30, 839,896.29 and 205,047.18 is: 307,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,031.30 : 839,896.29 = 205,047.18 : x
  2. Step 2: Convert to fraction form
    560,031.30/839,896.29 = 205,047.18/x
  3. Step 3: Cross multiply
    560,031.30x = 839,896.29 × 205,047.18
  4. Step 4: Simplify right side
    560,031.30x = 172,218,365,756.96
  5. Step 5: Solve for x
    x = 172,218,365,756.96/560,031.30
  6. Step 6: Final answer
    x = 307,515.61

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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.