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Finding the Fourth Proportional to 208,934.40, 313,401.60 and 141,574.80

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Solution

The fourth proportional to 208,934.40, 313,401.60 and 141,574.80 is: 212,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,934.40 : 313,401.60 = 141,574.80 : x
  2. Step 2: Convert to fraction form
    208,934.40/313,401.60 = 141,574.80/x
  3. Step 3: Cross multiply
    208,934.40x = 313,401.60 × 141,574.80
  4. Step 4: Simplify right side
    208,934.40x = 44,369,768,839.68
  5. Step 5: Solve for x
    x = 44,369,768,839.68/208,934.40
  6. Step 6: Final answer
    x = 212,362.20

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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.