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Finding the Fourth Proportional to 280,479.76, 386,767.32 and 184,864

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Solution

The fourth proportional to 280,479.76, 386,767.32 and 184,864 is: 254,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,479.76 : 386,767.32 = 184,864 : x
  2. Step 2: Convert to fraction form
    280,479.76/386,767.32 = 184,864/x
  3. Step 3: Cross multiply
    280,479.76x = 386,767.32 × 184,864
  4. Step 4: Simplify right side
    280,479.76x = 71,499,353,844.48
  5. Step 5: Solve for x
    x = 71,499,353,844.48/280,479.76
  6. Step 6: Final answer
    x = 254,918.05

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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.