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Finding the Fourth Proportional to 287,873.71, 432,184.77 and 221,360.56

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Solution

The fourth proportional to 287,873.71, 432,184.77 and 221,360.56 is: 332,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,873.71 : 432,184.77 = 221,360.56 : x
  2. Step 2: Convert to fraction form
    287,873.71/432,184.77 = 221,360.56/x
  3. Step 3: Cross multiply
    287,873.71x = 432,184.77 × 221,360.56
  4. Step 4: Simplify right side
    287,873.71x = 95,668,661,630.21
  5. Step 5: Solve for x
    x = 95,668,661,630.21/287,873.71
  6. Step 6: Final answer
    x = 332,328.58

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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.