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Finding the Fourth Proportional to 305,295.48, 421,516.28 and 190,748.52

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Solution

The fourth proportional to 305,295.48, 421,516.28 and 190,748.52 is: 263,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,295.48 : 421,516.28 = 190,748.52 : x
  2. Step 2: Convert to fraction form
    305,295.48/421,516.28 = 190,748.52/x
  3. Step 3: Cross multiply
    305,295.48x = 421,516.28 × 190,748.52
  4. Step 4: Simplify right side
    305,295.48x = 80,403,606,565.91
  5. Step 5: Solve for x
    x = 80,403,606,565.91/305,295.48
  6. Step 6: Final answer
    x = 263,363.24

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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.