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Finding the Fourth Proportional to 538,701.32, 808,290.02 and 282,472.72

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Solution

The fourth proportional to 538,701.32, 808,290.02 and 282,472.72 is: 423,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,701.32 : 808,290.02 = 282,472.72 : x
  2. Step 2: Convert to fraction form
    538,701.32/808,290.02 = 282,472.72/x
  3. Step 3: Cross multiply
    538,701.32x = 808,290.02 × 282,472.72
  4. Step 4: Simplify right side
    538,701.32x = 228,319,880,498.25
  5. Step 5: Solve for x
    x = 228,319,880,498.25/538,701.32
  6. Step 6: Final answer
    x = 423,833.90

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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.