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Finding the Fourth Proportional to 416,941.92, 575,378.40 and 225,960

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Solution

The fourth proportional to 416,941.92, 575,378.40 and 225,960 is: 311,824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,941.92 : 575,378.40 = 225,960 : x
  2. Step 2: Convert to fraction form
    416,941.92/575,378.40 = 225,960/x
  3. Step 3: Cross multiply
    416,941.92x = 575,378.40 × 225,960
  4. Step 4: Simplify right side
    416,941.92x = 130,012,503,264
  5. Step 5: Solve for x
    x = 130,012,503,264/416,941.92
  6. Step 6: Final answer
    x = 311,824.01

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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.