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Finding the Fourth Proportional to 409,273.56, 565,031.62 and 271,639.14

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Solution

The fourth proportional to 409,273.56, 565,031.62 and 271,639.14 is: 375,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,273.56 : 565,031.62 = 271,639.14 : x
  2. Step 2: Convert to fraction form
    409,273.56/565,031.62 = 271,639.14/x
  3. Step 3: Cross multiply
    409,273.56x = 565,031.62 × 271,639.14
  4. Step 4: Simplify right side
    409,273.56x = 153,484,703,329.61
  5. Step 5: Solve for x
    x = 153,484,703,329.61/409,273.56
  6. Step 6: Final answer
    x = 375,017.39

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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.