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Finding the Fourth Proportional to 280,188.44, 386,652.36 and 152,864

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Solution

The fourth proportional to 280,188.44, 386,652.36 and 152,864 is: 210,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,188.44 : 386,652.36 = 152,864 : x
  2. Step 2: Convert to fraction form
    280,188.44/386,652.36 = 152,864/x
  3. Step 3: Cross multiply
    280,188.44x = 386,652.36 × 152,864
  4. Step 4: Simplify right side
    280,188.44x = 59,105,226,359.04
  5. Step 5: Solve for x
    x = 59,105,226,359.04/280,188.44
  6. Step 6: Final answer
    x = 210,948.13

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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.