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Finding the Fourth Proportional to 510,069.64, 765,147.29 and 155,086.74

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Solution

The fourth proportional to 510,069.64, 765,147.29 and 155,086.74 is: 232,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,069.64 : 765,147.29 = 155,086.74 : x
  2. Step 2: Convert to fraction form
    510,069.64/765,147.29 = 155,086.74/x
  3. Step 3: Cross multiply
    510,069.64x = 765,147.29 × 155,086.74
  4. Step 4: Simplify right side
    510,069.64x = 118,664,198,825.94
  5. Step 5: Solve for x
    x = 118,664,198,825.94/510,069.64
  6. Step 6: Final answer
    x = 232,643.13

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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.