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Finding the Fourth Proportional to 313,363.10, 469,004.92 and 285,347.63

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Solution

The fourth proportional to 313,363.10, 469,004.92 and 285,347.63 is: 427,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,363.10 : 469,004.92 = 285,347.63 : x
  2. Step 2: Convert to fraction form
    313,363.10/469,004.92 = 285,347.63/x
  3. Step 3: Cross multiply
    313,363.10x = 469,004.92 × 285,347.63
  4. Step 4: Simplify right side
    313,363.10x = 133,829,442,839.48
  5. Step 5: Solve for x
    x = 133,829,442,839.48/313,363.10
  6. Step 6: Final answer
    x = 427,074.67

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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.