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Finding the Fourth Proportional to 413,877.40, 620,924.10 and 133,401.40

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Solution

The fourth proportional to 413,877.40, 620,924.10 and 133,401.40 is: 200,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,877.40 : 620,924.10 = 133,401.40 : x
  2. Step 2: Convert to fraction form
    413,877.40/620,924.10 = 133,401.40/x
  3. Step 3: Cross multiply
    413,877.40x = 620,924.10 × 133,401.40
  4. Step 4: Simplify right side
    413,877.40x = 82,832,144,233.74
  5. Step 5: Solve for x
    x = 82,832,144,233.74/413,877.40
  6. Step 6: Final answer
    x = 200,136.91

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1.5x scale

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.