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Finding the Fourth Proportional to 510,118.20, 765,206.10 and 155,143.80

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Solution

The fourth proportional to 510,118.20, 765,206.10 and 155,143.80 is: 232,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,118.20 : 765,206.10 = 155,143.80 : x
  2. Step 2: Convert to fraction form
    510,118.20/765,206.10 = 155,143.80/x
  3. Step 3: Cross multiply
    510,118.20x = 765,206.10 × 155,143.80
  4. Step 4: Simplify right side
    510,118.20x = 118,716,982,137.18
  5. Step 5: Solve for x
    x = 118,716,982,137.18/510,118.20
  6. Step 6: Final answer
    x = 232,724.46

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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.