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Finding the Fourth Proportional to 278,911.58, 384,901 and 151,587.20

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Solution

The fourth proportional to 278,911.58, 384,901 and 151,587.20 is: 209,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,911.58 : 384,901 = 151,587.20 : x
  2. Step 2: Convert to fraction form
    278,911.58/384,901 = 151,587.20/x
  3. Step 3: Cross multiply
    278,911.58x = 384,901 × 151,587.20
  4. Step 4: Simplify right side
    278,911.58x = 58,346,064,867.20
  5. Step 5: Solve for x
    x = 58,346,064,867.20/278,911.58
  6. Step 6: Final answer
    x = 209,191.98

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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.