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Finding the Fourth Proportional to 385,412.40, 577,384.20 and 207,860.40

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Solution

The fourth proportional to 385,412.40, 577,384.20 and 207,860.40 is: 311,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,412.40 : 577,384.20 = 207,860.40 : x
  2. Step 2: Convert to fraction form
    385,412.40/577,384.20 = 207,860.40/x
  3. Step 3: Cross multiply
    385,412.40x = 577,384.20 × 207,860.40
  4. Step 4: Simplify right side
    385,412.40x = 120,015,310,765.68
  5. Step 5: Solve for x
    x = 120,015,310,765.68/385,412.40
  6. Step 6: Final answer
    x = 311,394.52

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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.