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Finding the Fourth Proportional to 280,044.63, 386,484.71 and 159,223.95

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Solution

The fourth proportional to 280,044.63, 386,484.71 and 159,223.95 is: 219,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,044.63 : 386,484.71 = 159,223.95 : x
  2. Step 2: Convert to fraction form
    280,044.63/386,484.71 = 159,223.95/x
  3. Step 3: Cross multiply
    280,044.63x = 386,484.71 × 159,223.95
  4. Step 4: Simplify right side
    280,044.63x = 61,537,621,344.68
  5. Step 5: Solve for x
    x = 61,537,621,344.68/280,044.63
  6. Step 6: Final answer
    x = 219,742.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.