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Finding the Fourth Proportional to 538,712, 808,184.64 and 206,288

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Solution

The fourth proportional to 538,712, 808,184.64 and 206,288 is: 309,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,712 : 808,184.64 = 206,288 : x
  2. Step 2: Convert to fraction form
    538,712/808,184.64 = 206,288/x
  3. Step 3: Cross multiply
    538,712x = 808,184.64 × 206,288
  4. Step 4: Simplify right side
    538,712x = 166,718,793,016.32
  5. Step 5: Solve for x
    x = 166,718,793,016.32/538,712
  6. Step 6: Final answer
    x = 309,476.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.