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Finding the Fourth Proportional to 343,280.80, 514,921.20 and 195,824.80

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Solution

The fourth proportional to 343,280.80, 514,921.20 and 195,824.80 is: 293,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,280.80 : 514,921.20 = 195,824.80 : x
  2. Step 2: Convert to fraction form
    343,280.80/514,921.20 = 195,824.80/x
  3. Step 3: Cross multiply
    343,280.80x = 514,921.20 × 195,824.80
  4. Step 4: Simplify right side
    343,280.80x = 100,834,341,005.76
  5. Step 5: Solve for x
    x = 100,834,341,005.76/343,280.80
  6. Step 6: Final answer
    x = 293,737.20

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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.