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Finding the Fourth Proportional to 510,604.36, 766,026.48 and 286,119.74

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Solution

The fourth proportional to 510,604.36, 766,026.48 and 286,119.74 is: 429,246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,604.36 : 766,026.48 = 286,119.74 : x
  2. Step 2: Convert to fraction form
    510,604.36/766,026.48 = 286,119.74/x
  3. Step 3: Cross multiply
    510,604.36x = 766,026.48 × 286,119.74
  4. Step 4: Simplify right side
    510,604.36x = 219,175,300,278.73
  5. Step 5: Solve for x
    x = 219,175,300,278.73/510,604.36
  6. Step 6: Final answer
    x = 429,246.83

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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.