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Finding the Fourth Proportional to 315,751.68, 435,736.80 and 172,511.69

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Solution

The fourth proportional to 315,751.68, 435,736.80 and 172,511.69 is: 238,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,751.68 : 435,736.80 = 172,511.69 : x
  2. Step 2: Convert to fraction form
    315,751.68/435,736.80 = 172,511.69/x
  3. Step 3: Cross multiply
    315,751.68x = 435,736.80 × 172,511.69
  4. Step 4: Simplify right side
    315,751.68x = 75,169,689,584.51
  5. Step 5: Solve for x
    x = 75,169,689,584.51/315,751.68
  6. Step 6: Final answer
    x = 238,065.84

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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.