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Finding the Fourth Proportional to 399,105,200.40, 598,657,800.60 and 331,920,560.40

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Solution

The fourth proportional to 399,105,200.40, 598,657,800.60 and 331,920,560.40 is: 497,880,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,105,200.40 : 598,657,800.60 = 331,920,560.40 : x
  2. Step 2: Convert to fraction form
    399,105,200.40/598,657,800.60 = 331,920,560.40/x
  3. Step 3: Cross multiply
    399,105,200.40x = 598,657,800.60 × 331,920,560.40
  4. Step 4: Simplify right side
    399,105,200.40x = 198,706,832,662,983,456
  5. Step 5: Solve for x
    x = 198,706,832,662,983,456/399,105,200.40
  6. Step 6: Final answer
    x = 497,880,840.60

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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.