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Finding the Fourth Proportional to 287,208.75, 430,813.14 and 76,841.22

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Solution

The fourth proportional to 287,208.75, 430,813.14 and 76,841.22 is: 115,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,208.75 : 430,813.14 = 76,841.22 : x
  2. Step 2: Convert to fraction form
    287,208.75/430,813.14 = 76,841.22/x
  3. Step 3: Cross multiply
    287,208.75x = 430,813.14 × 76,841.22
  4. Step 4: Simplify right side
    287,208.75x = 33,104,207,269.63
  5. Step 5: Solve for x
    x = 33,104,207,269.63/287,208.75
  6. Step 6: Final answer
    x = 115,261.83

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1.5x scale

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.