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Finding the Fourth Proportional to 347,141.40, 519,329.70 and 313,963.80

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Solution

The fourth proportional to 347,141.40, 519,329.70 and 313,963.80 is: 469,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,141.40 : 519,329.70 = 313,963.80 : x
  2. Step 2: Convert to fraction form
    347,141.40/519,329.70 = 313,963.80/x
  3. Step 3: Cross multiply
    347,141.40x = 519,329.70 × 313,963.80
  4. Step 4: Simplify right side
    347,141.40x = 163,050,726,064.86
  5. Step 5: Solve for x
    x = 163,050,726,064.86/347,141.40
  6. Step 6: Final answer
    x = 469,695.42

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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.