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Finding the Fourth Proportional to 408,299.68, 563,457.04 and 265,113.76

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Solution

The fourth proportional to 408,299.68, 563,457.04 and 265,113.76 is: 365,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,299.68 : 563,457.04 = 265,113.76 : x
  2. Step 2: Convert to fraction form
    408,299.68/563,457.04 = 265,113.76/x
  3. Step 3: Cross multiply
    408,299.68x = 563,457.04 × 265,113.76
  4. Step 4: Simplify right side
    408,299.68x = 149,380,214,472.87
  5. Step 5: Solve for x
    x = 149,380,214,472.87/408,299.68
  6. Step 6: Final answer
    x = 365,859.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.