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Finding the Fourth Proportional to 287,297.75, 430,946.64 and 90,305.75

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Solution

The fourth proportional to 287,297.75, 430,946.64 and 90,305.75 is: 135,458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,297.75 : 430,946.64 = 90,305.75 : x
  2. Step 2: Convert to fraction form
    287,297.75/430,946.64 = 90,305.75/x
  3. Step 3: Cross multiply
    287,297.75x = 430,946.64 × 90,305.75
  4. Step 4: Simplify right side
    287,297.75x = 38,916,959,535.18
  5. Step 5: Solve for x
    x = 38,916,959,535.18/287,297.75
  6. Step 6: Final answer
    x = 135,458.63

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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.