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Finding the Fourth Proportional to 390,342, 538,672.32 and 211,494

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Solution

The fourth proportional to 390,342, 538,672.32 and 211,494 is: 291,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,342 : 538,672.32 = 211,494 : x
  2. Step 2: Convert to fraction form
    390,342/538,672.32 = 211,494/x
  3. Step 3: Cross multiply
    390,342x = 538,672.32 × 211,494
  4. Step 4: Simplify right side
    390,342x = 113,925,963,646.08
  5. Step 5: Solve for x
    x = 113,925,963,646.08/390,342
  6. Step 6: Final answer
    x = 291,861.92

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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.