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Finding the Fourth Proportional to 390,266, 538,567.12 and 211,418

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Solution

The fourth proportional to 390,266, 538,567.12 and 211,418 is: 291,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,266 : 538,567.12 = 211,418 : x
  2. Step 2: Convert to fraction form
    390,266/538,567.12 = 211,418/x
  3. Step 3: Cross multiply
    390,266x = 538,567.12 × 211,418
  4. Step 4: Simplify right side
    390,266x = 113,862,783,376.16
  5. Step 5: Solve for x
    x = 113,862,783,376.16/390,266
  6. Step 6: Final answer
    x = 291,756.86

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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.