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Finding the Fourth Proportional to 510,221.62, 765,443.14 and 155,226.40

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Solution

The fourth proportional to 510,221.62, 765,443.14 and 155,226.40 is: 232,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,221.62 : 765,443.14 = 155,226.40 : x
  2. Step 2: Convert to fraction form
    510,221.62/765,443.14 = 155,226.40/x
  3. Step 3: Cross multiply
    510,221.62x = 765,443.14 × 155,226.40
  4. Step 4: Simplify right side
    510,221.62x = 118,816,983,026.90
  5. Step 5: Solve for x
    x = 118,816,983,026.90/510,221.62
  6. Step 6: Final answer
    x = 232,873.28

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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.