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Finding the Fourth Proportional to 390,341, 538,670.94 and 211,493

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Solution

The fourth proportional to 390,341, 538,670.94 and 211,493 is: 291,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,341 : 538,670.94 = 211,493 : x
  2. Step 2: Convert to fraction form
    390,341/538,670.94 = 211,493/x
  3. Step 3: Cross multiply
    390,341x = 538,670.94 × 211,493
  4. Step 4: Simplify right side
    390,341x = 113,925,133,113.42
  5. Step 5: Solve for x
    x = 113,925,133,113.42/390,341
  6. Step 6: Final answer
    x = 291,860.54

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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.