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Finding the Fourth Proportional to 408,640.24, 563,604 and 265,446.48

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Solution

The fourth proportional to 408,640.24, 563,604 and 265,446.48 is: 366,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,640.24 : 563,604 = 265,446.48 : x
  2. Step 2: Convert to fraction form
    408,640.24/563,604 = 265,446.48/x
  3. Step 3: Cross multiply
    408,640.24x = 563,604 × 265,446.48
  4. Step 4: Simplify right side
    408,640.24x = 149,606,697,913.92
  5. Step 5: Solve for x
    x = 149,606,697,913.92/408,640.24
  6. Step 6: Final answer
    x = 366,108.58

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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.