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Finding the Fourth Proportional to 421,779.92, 632,602.92 and 197,296.16

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Solution

The fourth proportional to 421,779.92, 632,602.92 and 197,296.16 is: 295,912.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,779.92 : 632,602.92 = 197,296.16 : x
  2. Step 2: Convert to fraction form
    421,779.92/632,602.92 = 197,296.16/x
  3. Step 3: Cross multiply
    421,779.92x = 632,602.92 × 197,296.16
  4. Step 4: Simplify right side
    421,779.92x = 124,810,126,920.79
  5. Step 5: Solve for x
    x = 124,810,126,920.79/421,779.92
  6. Step 6: Final answer
    x = 295,912.92

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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.