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Finding the Fourth Proportional to 390,712, 539,182.56 and 211,864

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Solution

The fourth proportional to 390,712, 539,182.56 and 211,864 is: 292,372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,712 : 539,182.56 = 211,864 : x
  2. Step 2: Convert to fraction form
    390,712/539,182.56 = 211,864/x
  3. Step 3: Cross multiply
    390,712x = 539,182.56 × 211,864
  4. Step 4: Simplify right side
    390,712x = 114,233,373,891.84
  5. Step 5: Solve for x
    x = 114,233,373,891.84/390,712
  6. Step 6: Final answer
    x = 292,372.32

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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.