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Finding the Fourth Proportional to 280,365.28, 386,909.52 and 153,052

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Solution

The fourth proportional to 280,365.28, 386,909.52 and 153,052 is: 211,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,365.28 : 386,909.52 = 153,052 : x
  2. Step 2: Convert to fraction form
    280,365.28/386,909.52 = 153,052/x
  3. Step 3: Cross multiply
    280,365.28x = 386,909.52 × 153,052
  4. Step 4: Simplify right side
    280,365.28x = 59,217,275,855.04
  5. Step 5: Solve for x
    x = 59,217,275,855.04/280,365.28
  6. Step 6: Final answer
    x = 211,214.73

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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.