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Finding the Fourth Proportional to 390,392, 538,740.96 and 211,544

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Solution

The fourth proportional to 390,392, 538,740.96 and 211,544 is: 291,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,392 : 538,740.96 = 211,544 : x
  2. Step 2: Convert to fraction form
    390,392/538,740.96 = 211,544/x
  3. Step 3: Cross multiply
    390,392x = 538,740.96 × 211,544
  4. Step 4: Simplify right side
    390,392x = 113,967,417,642.24
  5. Step 5: Solve for x
    x = 113,967,417,642.24/390,392
  6. Step 6: Final answer
    x = 291,930.72

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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.