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Finding the Fourth Proportional to 381,715.40, 572,573.10 and 241,632.20

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Solution

The fourth proportional to 381,715.40, 572,573.10 and 241,632.20 is: 362,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,715.40 : 572,573.10 = 241,632.20 : x
  2. Step 2: Convert to fraction form
    381,715.40/572,573.10 = 241,632.20/x
  3. Step 3: Cross multiply
    381,715.40x = 572,573.10 × 241,632.20
  4. Step 4: Simplify right side
    381,715.40x = 138,352,097,813.82
  5. Step 5: Solve for x
    x = 138,352,097,813.82/381,715.40
  6. Step 6: Final answer
    x = 362,448.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.