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Finding the Fourth Proportional to 390,300, 538,614 and 211,452

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Solution

The fourth proportional to 390,300, 538,614 and 211,452 is: 291,803.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,300 : 538,614 = 211,452 : x
  2. Step 2: Convert to fraction form
    390,300/538,614 = 211,452/x
  3. Step 3: Cross multiply
    390,300x = 538,614 × 211,452
  4. Step 4: Simplify right side
    390,300x = 113,891,007,528
  5. Step 5: Solve for x
    x = 113,891,007,528/390,300
  6. Step 6: Final answer
    x = 291,803.76

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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.