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Finding the Fourth Proportional to 278,419.17, 384,019.87 and 255,522.77

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Solution

The fourth proportional to 278,419.17, 384,019.87 and 255,522.77 is: 352,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,419.17 : 384,019.87 = 255,522.77 : x
  2. Step 2: Convert to fraction form
    278,419.17/384,019.87 = 255,522.77/x
  3. Step 3: Cross multiply
    278,419.17x = 384,019.87 × 255,522.77
  4. Step 4: Simplify right side
    278,419.17x = 98,125,817,719.73
  5. Step 5: Solve for x
    x = 98,125,817,719.73/278,419.17
  6. Step 6: Final answer
    x = 352,439.16

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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.