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Finding the Fourth Proportional to 278,322.48, 417,705.12 and 100,880.10

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Solution

The fourth proportional to 278,322.48, 417,705.12 and 100,880.10 is: 151,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,322.48 : 417,705.12 = 100,880.10 : x
  2. Step 2: Convert to fraction form
    278,322.48/417,705.12 = 100,880.10/x
  3. Step 3: Cross multiply
    278,322.48x = 417,705.12 × 100,880.10
  4. Step 4: Simplify right side
    278,322.48x = 42,138,134,276.11
  5. Step 5: Solve for x
    x = 42,138,134,276.11/278,322.48
  6. Step 6: Final answer
    x = 151,400.40

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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.