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Finding the Fourth Proportional to 420,570.40, 630,864.54 and 150,716.14

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Solution

The fourth proportional to 420,570.40, 630,864.54 and 150,716.14 is: 226,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,570.40 : 630,864.54 = 150,716.14 : x
  2. Step 2: Convert to fraction form
    420,570.40/630,864.54 = 150,716.14/x
  3. Step 3: Cross multiply
    420,570.40x = 630,864.54 × 150,716.14
  4. Step 4: Simplify right side
    420,570.40x = 95,081,468,331.68
  5. Step 5: Solve for x
    x = 95,081,468,331.68/420,570.40
  6. Step 6: Final answer
    x = 226,077.41

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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.