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Finding the Fourth Proportional to 278,774.01, 384,712.80 and 151,449.70

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Solution

The fourth proportional to 278,774.01, 384,712.80 and 151,449.70 is: 209,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,774.01 : 384,712.80 = 151,449.70 : x
  2. Step 2: Convert to fraction form
    278,774.01/384,712.80 = 151,449.70/x
  3. Step 3: Cross multiply
    278,774.01x = 384,712.80 × 151,449.70
  4. Step 4: Simplify right side
    278,774.01x = 58,264,638,146.16
  5. Step 5: Solve for x
    x = 58,264,638,146.16/278,774.01
  6. Step 6: Final answer
    x = 209,003.12

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1.5x scale

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.