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Finding the Fourth Proportional to 390,644.52, 539,100.81 and 220,875

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Solution

The fourth proportional to 390,644.52, 539,100.81 and 220,875 is: 304,813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,644.52 : 539,100.81 = 220,875 : x
  2. Step 2: Convert to fraction form
    390,644.52/539,100.81 = 220,875/x
  3. Step 3: Cross multiply
    390,644.52x = 539,100.81 × 220,875
  4. Step 4: Simplify right side
    390,644.52x = 119,073,891,408.75
  5. Step 5: Solve for x
    x = 119,073,891,408.75/390,644.52
  6. Step 6: Final answer
    x = 304,813.93

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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.