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Finding the Fourth Proportional to 287,228.71, 430,907.01 and 87,564.61

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Solution

The fourth proportional to 287,228.71, 430,907.01 and 87,564.61 is: 131,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,228.71 : 430,907.01 = 87,564.61 : x
  2. Step 2: Convert to fraction form
    287,228.71/430,907.01 = 87,564.61/x
  3. Step 3: Cross multiply
    287,228.71x = 430,907.01 × 87,564.61
  4. Step 4: Simplify right side
    287,228.71x = 37,732,204,276.92
  5. Step 5: Solve for x
    x = 37,732,204,276.92/287,228.71
  6. Step 6: Final answer
    x = 131,366.41

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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.