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Finding the Fourth Proportional to 489,143.10, 686,044.50 and 489,143.10

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Solution

The fourth proportional to 489,143.10, 686,044.50 and 489,143.10 is: 686,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,143.10 : 686,044.50 = 489,143.10 : x
  2. Step 2: Convert to fraction form
    489,143.10/686,044.50 = 489,143.10/x
  3. Step 3: Cross multiply
    489,143.10x = 686,044.50 × 489,143.10
  4. Step 4: Simplify right side
    489,143.10x = 335,573,933,467.95
  5. Step 5: Solve for x
    x = 335,573,933,467.95/489,143.10
  6. Step 6: Final answer
    x = 686,044.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.