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Finding the Fourth Proportional to 284,267.40, 426,401.10 and 282,193.80

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Solution

The fourth proportional to 284,267.40, 426,401.10 and 282,193.80 is: 423,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,267.40 : 426,401.10 = 282,193.80 : x
  2. Step 2: Convert to fraction form
    284,267.40/426,401.10 = 282,193.80/x
  3. Step 3: Cross multiply
    284,267.40x = 426,401.10 × 282,193.80
  4. Step 4: Simplify right side
    284,267.40x = 120,327,746,733.18
  5. Step 5: Solve for x
    x = 120,327,746,733.18/284,267.40
  6. Step 6: Final answer
    x = 423,290.70

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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.