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Finding the Fourth Proportional to 296,089.60, 408,600.32 and 161,952

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Solution

The fourth proportional to 296,089.60, 408,600.32 and 161,952 is: 223,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,089.60 : 408,600.32 = 161,952 : x
  2. Step 2: Convert to fraction form
    296,089.60/408,600.32 = 161,952/x
  3. Step 3: Cross multiply
    296,089.60x = 408,600.32 × 161,952
  4. Step 4: Simplify right side
    296,089.60x = 66,173,639,024.64
  5. Step 5: Solve for x
    x = 66,173,639,024.64/296,089.60
  6. Step 6: Final answer
    x = 223,491.94

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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.