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Finding the Fourth Proportional to 266,632.40, 400,207.80 and 161,656.40

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Solution

The fourth proportional to 266,632.40, 400,207.80 and 161,656.40 is: 242,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,632.40 : 400,207.80 = 161,656.40 : x
  2. Step 2: Convert to fraction form
    266,632.40/400,207.80 = 161,656.40/x
  3. Step 3: Cross multiply
    266,632.40x = 400,207.80 × 161,656.40
  4. Step 4: Simplify right side
    266,632.40x = 64,696,152,199.92
  5. Step 5: Solve for x
    x = 64,696,152,199.92/266,632.40
  6. Step 6: Final answer
    x = 242,641.75

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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.