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Finding the Fourth Proportional to 390,978.04, 539,404.14 and 221,084.92

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Solution

The fourth proportional to 390,978.04, 539,404.14 and 221,084.92 is: 305,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,978.04 : 539,404.14 = 221,084.92 : x
  2. Step 2: Convert to fraction form
    390,978.04/539,404.14 = 221,084.92/x
  3. Step 3: Cross multiply
    390,978.04x = 539,404.14 × 221,084.92
  4. Step 4: Simplify right side
    390,978.04x = 119,254,121,139.57
  5. Step 5: Solve for x
    x = 119,254,121,139.57/390,978.04
  6. Step 6: Final answer
    x = 305,014.88

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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.