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Finding the Fourth Proportional to 287,315.76, 396,495.74 and 166,527.12

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Solution

The fourth proportional to 287,315.76, 396,495.74 and 166,527.12 is: 229,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,315.76 : 396,495.74 = 166,527.12 : x
  2. Step 2: Convert to fraction form
    287,315.76/396,495.74 = 166,527.12/x
  3. Step 3: Cross multiply
    287,315.76x = 396,495.74 × 166,527.12
  4. Step 4: Simplify right side
    287,315.76x = 66,027,292,841.83
  5. Step 5: Solve for x
    x = 66,027,292,841.83/287,315.76
  6. Step 6: Final answer
    x = 229,807.42

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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.