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Finding the Fourth Proportional to 296,005.50, 408,487.59 and 161,869.50

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Solution

The fourth proportional to 296,005.50, 408,487.59 and 161,869.50 is: 223,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,005.50 : 408,487.59 = 161,869.50 : x
  2. Step 2: Convert to fraction form
    296,005.50/408,487.59 = 161,869.50/x
  3. Step 3: Cross multiply
    296,005.50x = 408,487.59 × 161,869.50
  4. Step 4: Simplify right side
    296,005.50x = 66,121,681,949.51
  5. Step 5: Solve for x
    x = 66,121,681,949.51/296,005.50
  6. Step 6: Final answer
    x = 223,379.91

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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.