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Finding the Fourth Proportional to 421,914.48, 632,431.08 and 253,434.48

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Solution

The fourth proportional to 421,914.48, 632,431.08 and 253,434.48 is: 379,887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,914.48 : 632,431.08 = 253,434.48 : x
  2. Step 2: Convert to fraction form
    421,914.48/632,431.08 = 253,434.48/x
  3. Step 3: Cross multiply
    421,914.48x = 632,431.08 × 253,434.48
  4. Step 4: Simplify right side
    421,914.48x = 160,279,841,895.64
  5. Step 5: Solve for x
    x = 160,279,841,895.64/421,914.48
  6. Step 6: Final answer
    x = 379,887.04

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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.