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Finding the Fourth Proportional to 510,414.45, 765,621.66 and 155,428.50

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Solution

The fourth proportional to 510,414.45, 765,621.66 and 155,428.50 is: 233,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,414.45 : 765,621.66 = 155,428.50 : x
  2. Step 2: Convert to fraction form
    510,414.45/765,621.66 = 155,428.50/x
  3. Step 3: Cross multiply
    510,414.45x = 765,621.66 × 155,428.50
  4. Step 4: Simplify right side
    510,414.45x = 118,999,426,181.31
  5. Step 5: Solve for x
    x = 118,999,426,181.31/510,414.45
  6. Step 6: Final answer
    x = 233,142.75

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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.