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Finding the Fourth Proportional to 390,084, 538,315.92 and 211,236

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Solution

The fourth proportional to 390,084, 538,315.92 and 211,236 is: 291,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,084 : 538,315.92 = 211,236 : x
  2. Step 2: Convert to fraction form
    390,084/538,315.92 = 211,236/x
  3. Step 3: Cross multiply
    390,084x = 538,315.92 × 211,236
  4. Step 4: Simplify right side
    390,084x = 113,711,701,677.12
  5. Step 5: Solve for x
    x = 113,711,701,677.12/390,084
  6. Step 6: Final answer
    x = 291,505.68

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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.