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Finding the Fourth Proportional to 407,011.32, 609,768 and 255,179.52

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Solution

The fourth proportional to 407,011.32, 609,768 and 255,179.52 is: 382,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,011.32 : 609,768 = 255,179.52 : x
  2. Step 2: Convert to fraction form
    407,011.32/609,768 = 255,179.52/x
  3. Step 3: Cross multiply
    407,011.32x = 609,768 × 255,179.52
  4. Step 4: Simplify right side
    407,011.32x = 155,600,305,551.36
  5. Step 5: Solve for x
    x = 155,600,305,551.36/407,011.32
  6. Step 6: Final answer
    x = 382,299.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.