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Finding the Fourth Proportional to 385,202.40, 577,716.12 and 185,420.76

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Solution

The fourth proportional to 385,202.40, 577,716.12 and 185,420.76 is: 278,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,202.40 : 577,716.12 = 185,420.76 : x
  2. Step 2: Convert to fraction form
    385,202.40/577,716.12 = 185,420.76/x
  3. Step 3: Cross multiply
    385,202.40x = 577,716.12 × 185,420.76
  4. Step 4: Simplify right side
    385,202.40x = 107,120,562,034.65
  5. Step 5: Solve for x
    x = 107,120,562,034.65/385,202.40
  6. Step 6: Final answer
    x = 278,089.03

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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.