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Finding the Fourth Proportional to 415,000.10, 622,500.15 and 406,252.10

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Solution

The fourth proportional to 415,000.10, 622,500.15 and 406,252.10 is: 609,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,000.10 : 622,500.15 = 406,252.10 : x
  2. Step 2: Convert to fraction form
    415,000.10/622,500.15 = 406,252.10/x
  3. Step 3: Cross multiply
    415,000.10x = 622,500.15 × 406,252.10
  4. Step 4: Simplify right side
    415,000.10x = 252,891,993,187.82
  5. Step 5: Solve for x
    x = 252,891,993,187.82/415,000.10
  6. Step 6: Final answer
    x = 609,378.15

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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.