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Finding the Fourth Proportional to 390,692, 539,155.20 and 211,844

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Solution

The fourth proportional to 390,692, 539,155.20 and 211,844 is: 292,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,692 : 539,155.20 = 211,844 : x
  2. Step 2: Convert to fraction form
    390,692/539,155.20 = 211,844/x
  3. Step 3: Cross multiply
    390,692x = 539,155.20 × 211,844
  4. Step 4: Simplify right side
    390,692x = 114,216,794,188.80
  5. Step 5: Solve for x
    x = 114,216,794,188.80/390,692
  6. Step 6: Final answer
    x = 292,344.85

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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.