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Finding the Fourth Proportional to 347,824.80, 521,737.20 and 343,159.20

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Solution

The fourth proportional to 347,824.80, 521,737.20 and 343,159.20 is: 514,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,824.80 : 521,737.20 = 343,159.20 : x
  2. Step 2: Convert to fraction form
    347,824.80/521,737.20 = 343,159.20/x
  3. Step 3: Cross multiply
    347,824.80x = 521,737.20 × 343,159.20
  4. Step 4: Simplify right side
    347,824.80x = 179,038,920,162.24
  5. Step 5: Solve for x
    x = 179,038,920,162.24/347,824.80
  6. Step 6: Final answer
    x = 514,738.80

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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.