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Finding the Fourth Proportional to 642,436.80, 963,655.20 and 343,838.40

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Solution

The fourth proportional to 642,436.80, 963,655.20 and 343,838.40 is: 515,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,436.80 : 963,655.20 = 343,838.40 : x
  2. Step 2: Convert to fraction form
    642,436.80/963,655.20 = 343,838.40/x
  3. Step 3: Cross multiply
    642,436.80x = 963,655.20 × 343,838.40
  4. Step 4: Simplify right side
    642,436.80x = 331,341,662,119.68
  5. Step 5: Solve for x
    x = 331,341,662,119.68/642,436.80
  6. Step 6: Final answer
    x = 515,757.60

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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.