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Finding the Fourth Proportional to 421,259.47, 631,889.21 and 140,776.72

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Solution

The fourth proportional to 421,259.47, 631,889.21 and 140,776.72 is: 211,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,259.47 : 631,889.21 = 140,776.72 : x
  2. Step 2: Convert to fraction form
    421,259.47/631,889.21 = 140,776.72/x
  3. Step 3: Cross multiply
    421,259.47x = 631,889.21 × 140,776.72
  4. Step 4: Simplify right side
    421,259.47x = 88,955,290,387.19
  5. Step 5: Solve for x
    x = 88,955,290,387.19/421,259.47
  6. Step 6: Final answer
    x = 211,165.08

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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.