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Finding the Fourth Proportional to 421,437.90, 632,157.42 and 172,119.90

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Solution

The fourth proportional to 421,437.90, 632,157.42 and 172,119.90 is: 258,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,437.90 : 632,157.42 = 172,119.90 : x
  2. Step 2: Convert to fraction form
    421,437.90/632,157.42 = 172,119.90/x
  3. Step 3: Cross multiply
    421,437.90x = 632,157.42 × 172,119.90
  4. Step 4: Simplify right side
    421,437.90x = 108,806,871,914.66
  5. Step 5: Solve for x
    x = 108,806,871,914.66/421,437.90
  6. Step 6: Final answer
    x = 258,180.08

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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.