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Finding the Fourth Proportional to 406,962.20, 610,443.30 and 185,778.20

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Solution

The fourth proportional to 406,962.20, 610,443.30 and 185,778.20 is: 278,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,962.20 : 610,443.30 = 185,778.20 : x
  2. Step 2: Convert to fraction form
    406,962.20/610,443.30 = 185,778.20/x
  3. Step 3: Cross multiply
    406,962.20x = 610,443.30 × 185,778.20
  4. Step 4: Simplify right side
    406,962.20x = 113,407,057,476.06
  5. Step 5: Solve for x
    x = 113,407,057,476.06/406,962.20
  6. Step 6: Final answer
    x = 278,667.30

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1.5x scale

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.