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Finding the Fourth Proportional to 390,393, 538,742.34 and 211,545

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Solution

The fourth proportional to 390,393, 538,742.34 and 211,545 is: 291,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,393 : 538,742.34 = 211,545 : x
  2. Step 2: Convert to fraction form
    390,393/538,742.34 = 211,545/x
  3. Step 3: Cross multiply
    390,393x = 538,742.34 × 211,545
  4. Step 4: Simplify right side
    390,393x = 113,968,248,315.30
  5. Step 5: Solve for x
    x = 113,968,248,315.30/390,393
  6. Step 6: Final answer
    x = 291,932.10

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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.