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Finding the Fourth Proportional to 400,389.84, 600,166.50 and 133,931.24

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Solution

The fourth proportional to 400,389.84, 600,166.50 and 133,931.24 is: 200,756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,389.84 : 600,166.50 = 133,931.24 : x
  2. Step 2: Convert to fraction form
    400,389.84/600,166.50 = 133,931.24/x
  3. Step 3: Cross multiply
    400,389.84x = 600,166.50 × 133,931.24
  4. Step 4: Simplify right side
    400,389.84x = 80,381,043,551.46
  5. Step 5: Solve for x
    x = 80,381,043,551.46/400,389.84
  6. Step 6: Final answer
    x = 200,756.95

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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.