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Finding the Fourth Proportional to 296,136, 408,677.40 and 162,000

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Solution

The fourth proportional to 296,136, 408,677.40 and 162,000 is: 223,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,136 : 408,677.40 = 162,000 : x
  2. Step 2: Convert to fraction form
    296,136/408,677.40 = 162,000/x
  3. Step 3: Cross multiply
    296,136x = 408,677.40 × 162,000
  4. Step 4: Simplify right side
    296,136x = 66,205,738,800
  5. Step 5: Solve for x
    x = 66,205,738,800/296,136
  6. Step 6: Final answer
    x = 223,565.32

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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.