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Finding the Fourth Proportional to 406,948.10, 610,422.15 and 266,788.10

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Solution

The fourth proportional to 406,948.10, 610,422.15 and 266,788.10 is: 400,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,948.10 : 610,422.15 = 266,788.10 : x
  2. Step 2: Convert to fraction form
    406,948.10/610,422.15 = 266,788.10/x
  3. Step 3: Cross multiply
    406,948.10x = 610,422.15 × 266,788.10
  4. Step 4: Simplify right side
    406,948.10x = 162,853,365,596.42
  5. Step 5: Solve for x
    x = 162,853,365,596.42/406,948.10
  6. Step 6: Final answer
    x = 400,182.15

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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.