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Finding the Fourth Proportional to 538,700.82, 808,289.28 and 282,472.22

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Solution

The fourth proportional to 538,700.82, 808,289.28 and 282,472.22 is: 423,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,700.82 : 808,289.28 = 282,472.22 : x
  2. Step 2: Convert to fraction form
    538,700.82/808,289.28 = 282,472.22/x
  3. Step 3: Cross multiply
    538,700.82x = 808,289.28 × 282,472.22
  4. Step 4: Simplify right side
    538,700.82x = 228,319,267,323.80
  5. Step 5: Solve for x
    x = 228,319,267,323.80/538,700.82
  6. Step 6: Final answer
    x = 423,833.15

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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.