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Finding the Fourth Proportional to 278,207.60, 417,748.80 and 160,109.60

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Solution

The fourth proportional to 278,207.60, 417,748.80 and 160,109.60 is: 240,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,207.60 : 417,748.80 = 160,109.60 : x
  2. Step 2: Convert to fraction form
    278,207.60/417,748.80 = 160,109.60/x
  3. Step 3: Cross multiply
    278,207.60x = 417,748.80 × 160,109.60
  4. Step 4: Simplify right side
    278,207.60x = 66,885,593,268.48
  5. Step 5: Solve for x
    x = 66,885,593,268.48/278,207.60
  6. Step 6: Final answer
    x = 240,416.13

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1.5x scale

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.