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Finding the Fourth Proportional to 538,698.31, 808,285.52 and 282,469.71

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Solution

The fourth proportional to 538,698.31, 808,285.52 and 282,469.71 is: 423,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,698.31 : 808,285.52 = 282,469.71 : x
  2. Step 2: Convert to fraction form
    538,698.31/808,285.52 = 282,469.71/x
  3. Step 3: Cross multiply
    538,698.31x = 808,285.52 × 282,469.71
  4. Step 4: Simplify right side
    538,698.31x = 228,316,176,431.60
  5. Step 5: Solve for x
    x = 228,316,176,431.60/538,698.31
  6. Step 6: Final answer
    x = 423,829.39

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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.