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Finding the Fourth Proportional to 287,184, 430,799.04 and 90,192

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Solution

The fourth proportional to 287,184, 430,799.04 and 90,192 is: 135,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,184 : 430,799.04 = 90,192 : x
  2. Step 2: Convert to fraction form
    287,184/430,799.04 = 90,192/x
  3. Step 3: Cross multiply
    287,184x = 430,799.04 × 90,192
  4. Step 4: Simplify right side
    287,184x = 38,854,627,015.68
  5. Step 5: Solve for x
    x = 38,854,627,015.68/287,184
  6. Step 6: Final answer
    x = 135,295.24

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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.