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Finding the Fourth Proportional to 280,466.82, 387,044.19 and 153,142.52

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Solution

The fourth proportional to 280,466.82, 387,044.19 and 153,142.52 is: 211,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,466.82 : 387,044.19 = 153,142.52 : x
  2. Step 2: Convert to fraction form
    280,466.82/387,044.19 = 153,142.52/x
  3. Step 3: Cross multiply
    280,466.82x = 387,044.19 × 153,142.52
  4. Step 4: Simplify right side
    280,466.82x = 59,272,920,672.74
  5. Step 5: Solve for x
    x = 59,272,920,672.74/280,466.82
  6. Step 6: Final answer
    x = 211,336.66

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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.