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Finding the Fourth Proportional to 385,406.40, 577,375.20 and 207,854.40

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Solution

The fourth proportional to 385,406.40, 577,375.20 and 207,854.40 is: 311,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,406.40 : 577,375.20 = 207,854.40 : x
  2. Step 2: Convert to fraction form
    385,406.40/577,375.20 = 207,854.40/x
  3. Step 3: Cross multiply
    385,406.40x = 577,375.20 × 207,854.40
  4. Step 4: Simplify right side
    385,406.40x = 120,009,975,770.88
  5. Step 5: Solve for x
    x = 120,009,975,770.88/385,406.40
  6. Step 6: Final answer
    x = 311,385.53

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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.