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Finding the Fourth Proportional to 540,716.18, 746,193.20 and 299,015.15

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Solution

The fourth proportional to 540,716.18, 746,193.20 and 299,015.15 is: 412,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,716.18 : 746,193.20 = 299,015.15 : x
  2. Step 2: Convert to fraction form
    540,716.18/746,193.20 = 299,015.15/x
  3. Step 3: Cross multiply
    540,716.18x = 746,193.20 × 299,015.15
  4. Step 4: Simplify right side
    540,716.18x = 223,123,066,400.94
  5. Step 5: Solve for x
    x = 223,123,066,400.94/540,716.18
  6. Step 6: Final answer
    x = 412,643.60

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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.