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Finding the Fourth Proportional to 280,242.39, 386,743.83 and 152,924.97

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Solution

The fourth proportional to 280,242.39, 386,743.83 and 152,924.97 is: 211,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,242.39 : 386,743.83 = 152,924.97 : x
  2. Step 2: Convert to fraction form
    280,242.39/386,743.83 = 152,924.97/x
  3. Step 3: Cross multiply
    280,242.39x = 386,743.83 × 152,924.97
  4. Step 4: Simplify right side
    280,242.39x = 59,142,786,666.72
  5. Step 5: Solve for x
    x = 59,142,786,666.72/280,242.39
  6. Step 6: Final answer
    x = 211,041.55

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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.