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Finding the Fourth Proportional to 191,375,992.80, 287,347,424.40 and 148,293,842.40

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Solution

The fourth proportional to 191,375,992.80, 287,347,424.40 and 148,293,842.40 is: 222,660,392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,375,992.80 : 287,347,424.40 = 148,293,842.40 : x
  2. Step 2: Convert to fraction form
    191,375,992.80/287,347,424.40 = 148,293,842.40/x
  3. Step 3: Cross multiply
    191,375,992.80x = 287,347,424.40 × 148,293,842.40
  4. Step 4: Simplify right side
    191,375,992.80x = 42,611,853,668,019,512
  5. Step 5: Solve for x
    x = 42,611,853,668,019,512/191,375,992.80
  6. Step 6: Final answer
    x = 222,660,392.48

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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.