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Finding the Fourth Proportional to 421,911, 632,970.18 and 126,423

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Solution

The fourth proportional to 421,911, 632,970.18 and 126,423 is: 189,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,911 : 632,970.18 = 126,423 : x
  2. Step 2: Convert to fraction form
    421,911/632,970.18 = 126,423/x
  3. Step 3: Cross multiply
    421,911x = 632,970.18 × 126,423
  4. Step 4: Simplify right side
    421,911x = 80,021,989,066.14
  5. Step 5: Solve for x
    x = 80,021,989,066.14/421,911
  6. Step 6: Final answer
    x = 189,665.57

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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.