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Finding the Fourth Proportional to 510,705.75, 704,778.84 and 284,356.11

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Solution

The fourth proportional to 510,705.75, 704,778.84 and 284,356.11 is: 392,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,705.75 : 704,778.84 = 284,356.11 : x
  2. Step 2: Convert to fraction form
    510,705.75/704,778.84 = 284,356.11/x
  3. Step 3: Cross multiply
    510,705.75x = 704,778.84 × 284,356.11
  4. Step 4: Simplify right side
    510,705.75x = 200,408,169,352.71
  5. Step 5: Solve for x
    x = 200,408,169,352.71/510,705.75
  6. Step 6: Final answer
    x = 392,414.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.