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Finding the Fourth Proportional to 642,492.80, 963,739.20 and 343,894.40

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Solution

The fourth proportional to 642,492.80, 963,739.20 and 343,894.40 is: 515,841.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,492.80 : 963,739.20 = 343,894.40 : x
  2. Step 2: Convert to fraction form
    642,492.80/963,739.20 = 343,894.40/x
  3. Step 3: Cross multiply
    642,492.80x = 963,739.20 × 343,894.40
  4. Step 4: Simplify right side
    642,492.80x = 331,424,513,940.48
  5. Step 5: Solve for x
    x = 331,424,513,940.48/642,492.80
  6. Step 6: Final answer
    x = 515,841.60

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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.