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Finding the Fourth Proportional to 381,013.20, 571,543.56 and 100,530.72

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Solution

The fourth proportional to 381,013.20, 571,543.56 and 100,530.72 is: 150,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,013.20 : 571,543.56 = 100,530.72 : x
  2. Step 2: Convert to fraction form
    381,013.20/571,543.56 = 100,530.72/x
  3. Step 3: Cross multiply
    381,013.20x = 571,543.56 × 100,530.72
  4. Step 4: Simplify right side
    381,013.20x = 57,457,685,598.16
  5. Step 5: Solve for x
    x = 57,457,685,598.16/381,013.20
  6. Step 6: Final answer
    x = 150,802.35

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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.