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Finding the Fourth Proportional to 560,569.95, 838,732.69 and 343,657.21

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Solution

The fourth proportional to 560,569.95, 838,732.69 and 343,657.21 is: 514,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,569.95 : 838,732.69 = 343,657.21 : x
  2. Step 2: Convert to fraction form
    560,569.95/838,732.69 = 343,657.21/x
  3. Step 3: Cross multiply
    560,569.95x = 838,732.69 × 343,657.21
  4. Step 4: Simplify right side
    560,569.95x = 288,236,536,181.20
  5. Step 5: Solve for x
    x = 288,236,536,181.20/560,569.95
  6. Step 6: Final answer
    x = 514,184.78

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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.