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Finding the Fourth Proportional to 390,663, 539,118.18 and 211,815

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Solution

The fourth proportional to 390,663, 539,118.18 and 211,815 is: 292,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,663 : 539,118.18 = 211,815 : x
  2. Step 2: Convert to fraction form
    390,663/539,118.18 = 211,815/x
  3. Step 3: Cross multiply
    390,663x = 539,118.18 × 211,815
  4. Step 4: Simplify right side
    390,663x = 114,193,317,296.70
  5. Step 5: Solve for x
    x = 114,193,317,296.70/390,663
  6. Step 6: Final answer
    x = 292,306.46

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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.