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Finding the Fourth Proportional to 421,229.70, 631,844.55 and 415,008.90

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Solution

The fourth proportional to 421,229.70, 631,844.55 and 415,008.90 is: 622,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,229.70 : 631,844.55 = 415,008.90 : x
  2. Step 2: Convert to fraction form
    421,229.70/631,844.55 = 415,008.90/x
  3. Step 3: Cross multiply
    421,229.70x = 631,844.55 × 415,008.90
  4. Step 4: Simplify right side
    421,229.70x = 262,221,111,666.50
  5. Step 5: Solve for x
    x = 262,221,111,666.50/421,229.70
  6. Step 6: Final answer
    x = 622,513.35

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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.