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Finding the Fourth Proportional to 286,601.12, 395,478.12 and 165,724.16

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Solution

The fourth proportional to 286,601.12, 395,478.12 and 165,724.16 is: 228,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,601.12 : 395,478.12 = 165,724.16 : x
  2. Step 2: Convert to fraction form
    286,601.12/395,478.12 = 165,724.16/x
  3. Step 3: Cross multiply
    286,601.12x = 395,478.12 × 165,724.16
  4. Step 4: Simplify right side
    286,601.12x = 65,540,279,235.38
  5. Step 5: Solve for x
    x = 65,540,279,235.38/286,601.12
  6. Step 6: Final answer
    x = 228,681.17

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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.