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Finding the Fourth Proportional to 287,227.71, 430,905.51 and 87,563.61

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Solution

The fourth proportional to 287,227.71, 430,905.51 and 87,563.61 is: 131,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,227.71 : 430,905.51 = 87,563.61 : x
  2. Step 2: Convert to fraction form
    287,227.71/430,905.51 = 87,563.61/x
  3. Step 3: Cross multiply
    287,227.71x = 430,905.51 × 87,563.61
  4. Step 4: Simplify right side
    287,227.71x = 37,731,642,024.49
  5. Step 5: Solve for x
    x = 37,731,642,024.49/287,227.71
  6. Step 6: Final answer
    x = 131,364.91

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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.