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Finding the Fourth Proportional to 315,053.75, 434,769.83 and 171,813.76

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Solution

The fourth proportional to 315,053.75, 434,769.83 and 171,813.76 is: 237,100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,053.75 : 434,769.83 = 171,813.76 : x
  2. Step 2: Convert to fraction form
    315,053.75/434,769.83 = 171,813.76/x
  3. Step 3: Cross multiply
    315,053.75x = 434,769.83 × 171,813.76
  4. Step 4: Simplify right side
    315,053.75x = 74,699,437,925.17
  5. Step 5: Solve for x
    x = 74,699,437,925.17/315,053.75
  6. Step 6: Final answer
    x = 237,100.61

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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.