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Finding the Fourth Proportional to 553,300.80, 829,951.20 and 343,348.80

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Solution

The fourth proportional to 553,300.80, 829,951.20 and 343,348.80 is: 515,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,300.80 : 829,951.20 = 343,348.80 : x
  2. Step 2: Convert to fraction form
    553,300.80/829,951.20 = 343,348.80/x
  3. Step 3: Cross multiply
    553,300.80x = 829,951.20 × 343,348.80
  4. Step 4: Simplify right side
    553,300.80x = 284,962,748,578.56
  5. Step 5: Solve for x
    x = 284,962,748,578.56/553,300.80
  6. Step 6: Final answer
    x = 515,023.20

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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.