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Finding the Fourth Proportional to 278,345.52, 384,119.28 and 151,023.64

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Solution

The fourth proportional to 278,345.52, 384,119.28 and 151,023.64 is: 208,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,345.52 : 384,119.28 = 151,023.64 : x
  2. Step 2: Convert to fraction form
    278,345.52/384,119.28 = 151,023.64/x
  3. Step 3: Cross multiply
    278,345.52x = 384,119.28 × 151,023.64
  4. Step 4: Simplify right side
    278,345.52x = 58,011,091,859.78
  5. Step 5: Solve for x
    x = 58,011,091,859.78/278,345.52
  6. Step 6: Final answer
    x = 208,413.96

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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.