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Finding the Fourth Proportional to 287,342.36, 396,507.06 and 166,445

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Solution

The fourth proportional to 287,342.36, 396,507.06 and 166,445 is: 229,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,342.36 : 396,507.06 = 166,445 : x
  2. Step 2: Convert to fraction form
    287,342.36/396,507.06 = 166,445/x
  3. Step 3: Cross multiply
    287,342.36x = 396,507.06 × 166,445
  4. Step 4: Simplify right side
    287,342.36x = 65,996,617,601.70
  5. Step 5: Solve for x
    x = 65,996,617,601.70/287,342.36
  6. Step 6: Final answer
    x = 229,679.39

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1.5x scale

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.