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Finding the Fourth Proportional to 384,914,405.80, 577,371,608.70 and 312,354,994.60

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Solution

The fourth proportional to 384,914,405.80, 577,371,608.70 and 312,354,994.60 is: 468,532,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,914,405.80 : 577,371,608.70 = 312,354,994.60 : x
  2. Step 2: Convert to fraction form
    384,914,405.80/577,371,608.70 = 312,354,994.60/x
  3. Step 3: Cross multiply
    384,914,405.80x = 577,371,608.70 × 312,354,994.60
  4. Step 4: Simplify right side
    384,914,405.80x = 180,344,905,717,681,856
  5. Step 5: Solve for x
    x = 180,344,905,717,681,856/384,914,405.80
  6. Step 6: Final answer
    x = 468,532,491.90

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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.