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Finding the Fourth Proportional to 421,740.13, 632,610.80 and 172,422.13

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Solution

The fourth proportional to 421,740.13, 632,610.80 and 172,422.13 is: 258,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,740.13 : 632,610.80 = 172,422.13 : x
  2. Step 2: Convert to fraction form
    421,740.13/632,610.80 = 172,422.13/x
  3. Step 3: Cross multiply
    421,740.13x = 632,610.80 × 172,422.13
  4. Step 4: Simplify right side
    421,740.13x = 109,076,101,597.00
  5. Step 5: Solve for x
    x = 109,076,101,597.00/421,740.13
  6. Step 6: Final answer
    x = 258,633.44

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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.