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Finding the Fourth Proportional to 421,259.16, 631,888.74 and 140,776.41

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Solution

The fourth proportional to 421,259.16, 631,888.74 and 140,776.41 is: 211,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,259.16 : 631,888.74 = 140,776.41 : x
  2. Step 2: Convert to fraction form
    421,259.16/631,888.74 = 140,776.41/x
  3. Step 3: Cross multiply
    421,259.16x = 631,888.74 × 140,776.41
  4. Step 4: Simplify right side
    421,259.16x = 88,955,025,439.13
  5. Step 5: Solve for x
    x = 88,955,025,439.13/421,259.16
  6. Step 6: Final answer
    x = 211,164.61

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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.