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Finding the Fourth Proportional to 381,483.42, 572,312.43 and 165,378.42

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Solution

The fourth proportional to 381,483.42, 572,312.43 and 165,378.42 is: 248,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,483.42 : 572,312.43 = 165,378.42 : x
  2. Step 2: Convert to fraction form
    381,483.42/572,312.43 = 165,378.42/x
  3. Step 3: Cross multiply
    381,483.42x = 572,312.43 × 165,378.42
  4. Step 4: Simplify right side
    381,483.42x = 94,648,125,419.76
  5. Step 5: Solve for x
    x = 94,648,125,419.76/381,483.42
  6. Step 6: Final answer
    x = 248,105.48

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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.