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Finding the Fourth Proportional to 287,193.84, 430,946.28 and 276,722.16

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Solution

The fourth proportional to 287,193.84, 430,946.28 and 276,722.16 is: 415,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,193.84 : 430,946.28 = 276,722.16 : x
  2. Step 2: Convert to fraction form
    287,193.84/430,946.28 = 276,722.16/x
  3. Step 3: Cross multiply
    287,193.84x = 430,946.28 × 276,722.16
  4. Step 4: Simplify right side
    287,193.84x = 119,252,385,445.57
  5. Step 5: Solve for x
    x = 119,252,385,445.57/287,193.84
  6. Step 6: Final answer
    x = 415,233.09

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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.