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Finding the Fourth Proportional to 510,228.90, 765,454.05 and 155,233.69

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Solution

The fourth proportional to 510,228.90, 765,454.05 and 155,233.69 is: 232,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,228.90 : 765,454.05 = 155,233.69 : x
  2. Step 2: Convert to fraction form
    510,228.90/765,454.05 = 155,233.69/x
  3. Step 3: Cross multiply
    510,228.90x = 765,454.05 × 155,233.69
  4. Step 4: Simplify right side
    510,228.90x = 118,824,254,793.31
  5. Step 5: Solve for x
    x = 118,824,254,793.31/510,228.90
  6. Step 6: Final answer
    x = 232,884.21

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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.