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Finding the Fourth Proportional to 390,720, 539,193.84 and 211,872

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Solution

The fourth proportional to 390,720, 539,193.84 and 211,872 is: 292,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,720 : 539,193.84 = 211,872 : x
  2. Step 2: Convert to fraction form
    390,720/539,193.84 = 211,872/x
  3. Step 3: Cross multiply
    390,720x = 539,193.84 × 211,872
  4. Step 4: Simplify right side
    390,720x = 114,240,077,268.48
  5. Step 5: Solve for x
    x = 114,240,077,268.48/390,720
  6. Step 6: Final answer
    x = 292,383.49

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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.