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Finding the Fourth Proportional to 278,991.68, 384,647.15 and 180,700.04

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Solution

The fourth proportional to 278,991.68, 384,647.15 and 180,700.04 is: 249,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,991.68 : 384,647.15 = 180,700.04 : x
  2. Step 2: Convert to fraction form
    278,991.68/384,647.15 = 180,700.04/x
  3. Step 3: Cross multiply
    278,991.68x = 384,647.15 × 180,700.04
  4. Step 4: Simplify right side
    278,991.68x = 69,505,754,487.39
  5. Step 5: Solve for x
    x = 69,505,754,487.39/278,991.68
  6. Step 6: Final answer
    x = 249,132.00

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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.