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Finding the Fourth Proportional to 278,681.04, 418,014.27 and 98,763.84

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Solution

The fourth proportional to 278,681.04, 418,014.27 and 98,763.84 is: 148,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,681.04 : 418,014.27 = 98,763.84 : x
  2. Step 2: Convert to fraction form
    278,681.04/418,014.27 = 98,763.84/x
  3. Step 3: Cross multiply
    278,681.04x = 418,014.27 × 98,763.84
  4. Step 4: Simplify right side
    278,681.04x = 41,284,694,480.00
  5. Step 5: Solve for x
    x = 41,284,694,480.00/278,681.04
  6. Step 6: Final answer
    x = 148,143.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.