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Finding the Fourth Proportional to 390,616.83, 539,078.36 and 218,591.46

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Solution

The fourth proportional to 390,616.83, 539,078.36 and 218,591.46 is: 301,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,616.83 : 539,078.36 = 218,591.46 : x
  2. Step 2: Convert to fraction form
    390,616.83/539,078.36 = 218,591.46/x
  3. Step 3: Cross multiply
    390,616.83x = 539,078.36 × 218,591.46
  4. Step 4: Simplify right side
    390,616.83x = 117,837,924,673.85
  5. Step 5: Solve for x
    x = 117,837,924,673.85/390,616.83
  6. Step 6: Final answer
    x = 301,671.40

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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.