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Finding the Fourth Proportional to 390,666, 539,119.08 and 211,818

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Solution

The fourth proportional to 390,666, 539,119.08 and 211,818 is: 292,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,666 : 539,119.08 = 211,818 : x
  2. Step 2: Convert to fraction form
    390,666/539,119.08 = 211,818/x
  3. Step 3: Cross multiply
    390,666x = 539,119.08 × 211,818
  4. Step 4: Simplify right side
    390,666x = 114,195,125,287.44
  5. Step 5: Solve for x
    x = 114,195,125,287.44/390,666
  6. Step 6: Final answer
    x = 292,308.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.