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Finding the Fourth Proportional to 355,838.78, 491,045.30 and 202,926.18

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Solution

The fourth proportional to 355,838.78, 491,045.30 and 202,926.18 is: 280,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,838.78 : 491,045.30 = 202,926.18 : x
  2. Step 2: Convert to fraction form
    355,838.78/491,045.30 = 202,926.18/x
  3. Step 3: Cross multiply
    355,838.78x = 491,045.30 × 202,926.18
  4. Step 4: Simplify right side
    355,838.78x = 99,645,945,921.32
  5. Step 5: Solve for x
    x = 99,645,945,921.32/355,838.78
  6. Step 6: Final answer
    x = 280,031.16

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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.