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Finding the Fourth Proportional to 287,318.76, 396,484.52 and 164,804.91

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Solution

The fourth proportional to 287,318.76, 396,484.52 and 164,804.91 is: 227,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,318.76 : 396,484.52 = 164,804.91 : x
  2. Step 2: Convert to fraction form
    287,318.76/396,484.52 = 164,804.91/x
  3. Step 3: Cross multiply
    287,318.76x = 396,484.52 × 164,804.91
  4. Step 4: Simplify right side
    287,318.76x = 65,342,594,810.97
  5. Step 5: Solve for x
    x = 65,342,594,810.97/287,318.76
  6. Step 6: Final answer
    x = 227,421.96

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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.