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Finding the Fourth Proportional to 346,906.20, 519,581.70 and 284,698.20

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Solution

The fourth proportional to 346,906.20, 519,581.70 and 284,698.20 is: 426,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,906.20 : 519,581.70 = 284,698.20 : x
  2. Step 2: Convert to fraction form
    346,906.20/519,581.70 = 284,698.20/x
  3. Step 3: Cross multiply
    346,906.20x = 519,581.70 × 284,698.20
  4. Step 4: Simplify right side
    346,906.20x = 147,923,974,742.94
  5. Step 5: Solve for x
    x = 147,923,974,742.94/346,906.20
  6. Step 6: Final answer
    x = 426,409.14

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1.5x scale

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.