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Finding the Fourth Proportional to 510,672.60, 766,008.90 and 454,685.40

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Solution

The fourth proportional to 510,672.60, 766,008.90 and 454,685.40 is: 682,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,672.60 : 766,008.90 = 454,685.40 : x
  2. Step 2: Convert to fraction form
    510,672.60/766,008.90 = 454,685.40/x
  3. Step 3: Cross multiply
    510,672.60x = 766,008.90 × 454,685.40
  4. Step 4: Simplify right side
    510,672.60x = 348,293,063,100.06
  5. Step 5: Solve for x
    x = 348,293,063,100.06/510,672.60
  6. Step 6: Final answer
    x = 682,028.10

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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.