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Finding the Fourth Proportional to 346,477, 519,715.52 and 83,821

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Solution

The fourth proportional to 346,477, 519,715.52 and 83,821 is: 125,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,477 : 519,715.52 = 83,821 : x
  2. Step 2: Convert to fraction form
    346,477/519,715.52 = 83,821/x
  3. Step 3: Cross multiply
    346,477x = 519,715.52 × 83,821
  4. Step 4: Simplify right side
    346,477x = 43,563,074,601.92
  5. Step 5: Solve for x
    x = 43,563,074,601.92/346,477
  6. Step 6: Final answer
    x = 125,731.50

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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.