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Finding the Fourth Proportional to 412,401.40, 618,011.70 and 234,532.60

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Solution

The fourth proportional to 412,401.40, 618,011.70 and 234,532.60 is: 351,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,401.40 : 618,011.70 = 234,532.60 : x
  2. Step 2: Convert to fraction form
    412,401.40/618,011.70 = 234,532.60/x
  3. Step 3: Cross multiply
    412,401.40x = 618,011.70 × 234,532.60
  4. Step 4: Simplify right side
    412,401.40x = 144,943,890,831.42
  5. Step 5: Solve for x
    x = 144,943,890,831.42/412,401.40
  6. Step 6: Final answer
    x = 351,463.14

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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.