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Finding the Fourth Proportional to 537,578.56, 741,858.24 and 311,219.20

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Solution

The fourth proportional to 537,578.56, 741,858.24 and 311,219.20 is: 429,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,578.56 : 741,858.24 = 311,219.20 : x
  2. Step 2: Convert to fraction form
    537,578.56/741,858.24 = 311,219.20/x
  3. Step 3: Cross multiply
    537,578.56x = 741,858.24 × 311,219.20
  4. Step 4: Simplify right side
    537,578.56x = 230,880,527,966.21
  5. Step 5: Solve for x
    x = 230,880,527,966.21/537,578.56
  6. Step 6: Final answer
    x = 429,482.40

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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.