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Finding the Fourth Proportional to 421,412.76, 631,987.37 and 140,864.40

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Solution

The fourth proportional to 421,412.76, 631,987.37 and 140,864.40 is: 211,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,412.76 : 631,987.37 = 140,864.40 : x
  2. Step 2: Convert to fraction form
    421,412.76/631,987.37 = 140,864.40/x
  3. Step 3: Cross multiply
    421,412.76x = 631,987.37 × 140,864.40
  4. Step 4: Simplify right side
    421,412.76x = 89,024,519,840.92
  5. Step 5: Solve for x
    x = 89,024,519,840.92/421,412.76
  6. Step 6: Final answer
    x = 211,252.55

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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.