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Finding the Fourth Proportional to 390,196, 538,470.48 and 211,348

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Solution

The fourth proportional to 390,196, 538,470.48 and 211,348 is: 291,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,196 : 538,470.48 = 211,348 : x
  2. Step 2: Convert to fraction form
    390,196/538,470.48 = 211,348/x
  3. Step 3: Cross multiply
    390,196x = 538,470.48 × 211,348
  4. Step 4: Simplify right side
    390,196x = 113,804,659,007.04
  5. Step 5: Solve for x
    x = 113,804,659,007.04/390,196
  6. Step 6: Final answer
    x = 291,660.24

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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.