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Finding the Fourth Proportional to 407,523.20, 610,489.55 and 266,855.36

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Solution

The fourth proportional to 407,523.20, 610,489.55 and 266,855.36 is: 399,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,523.20 : 610,489.55 = 266,855.36 : x
  2. Step 2: Convert to fraction form
    407,523.20/610,489.55 = 266,855.36/x
  3. Step 3: Cross multiply
    407,523.20x = 610,489.55 × 266,855.36
  4. Step 4: Simplify right side
    407,523.20x = 162,912,406,256.18
  5. Step 5: Solve for x
    x = 162,912,406,256.18/407,523.20
  6. Step 6: Final answer
    x = 399,762.29

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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.