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Finding the Fourth Proportional to 420,908.16, 631,362.24 and 105,365.07

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Solution

The fourth proportional to 420,908.16, 631,362.24 and 105,365.07 is: 158,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,908.16 : 631,362.24 = 105,365.07 : x
  2. Step 2: Convert to fraction form
    420,908.16/631,362.24 = 105,365.07/x
  3. Step 3: Cross multiply
    420,908.16x = 631,362.24 × 105,365.07
  4. Step 4: Simplify right side
    420,908.16x = 66,523,526,612.96
  5. Step 5: Solve for x
    x = 66,523,526,612.96/420,908.16
  6. Step 6: Final answer
    x = 158,047.61

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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.