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Finding the Fourth Proportional to 390,270, 538,572.64 and 211,422

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Solution

The fourth proportional to 390,270, 538,572.64 and 211,422 is: 291,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,270 : 538,572.64 = 211,422 : x
  2. Step 2: Convert to fraction form
    390,270/538,572.64 = 211,422/x
  3. Step 3: Cross multiply
    390,270x = 538,572.64 × 211,422
  4. Step 4: Simplify right side
    390,270x = 113,866,104,694.08
  5. Step 5: Solve for x
    x = 113,866,104,694.08/390,270
  6. Step 6: Final answer
    x = 291,762.38

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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.