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Finding the Fourth Proportional to 399,141.80, 598,712.70 and 347,820.20

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Solution

The fourth proportional to 399,141.80, 598,712.70 and 347,820.20 is: 521,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,141.80 : 598,712.70 = 347,820.20 : x
  2. Step 2: Convert to fraction form
    399,141.80/598,712.70 = 347,820.20/x
  3. Step 3: Cross multiply
    399,141.80x = 598,712.70 × 347,820.20
  4. Step 4: Simplify right side
    399,141.80x = 208,244,371,056.54
  5. Step 5: Solve for x
    x = 208,244,371,056.54/399,141.80
  6. Step 6: Final answer
    x = 521,730.30

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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.