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Finding the Fourth Proportional to 421,045.95, 631,568.04 and 168,385.48

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Solution

The fourth proportional to 421,045.95, 631,568.04 and 168,385.48 is: 252,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,045.95 : 631,568.04 = 168,385.48 : x
  2. Step 2: Convert to fraction form
    421,045.95/631,568.04 = 168,385.48/x
  3. Step 3: Cross multiply
    421,045.95x = 631,568.04 × 168,385.48
  4. Step 4: Simplify right side
    421,045.95x = 106,346,887,568.06
  5. Step 5: Solve for x
    x = 106,346,887,568.06/421,045.95
  6. Step 6: Final answer
    x = 252,577.87

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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.