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Finding the Fourth Proportional to 346,485, 519,727.52 and 83,829

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Solution

The fourth proportional to 346,485, 519,727.52 and 83,829 is: 125,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,485 : 519,727.52 = 83,829 : x
  2. Step 2: Convert to fraction form
    346,485/519,727.52 = 83,829/x
  3. Step 3: Cross multiply
    346,485x = 519,727.52 × 83,829
  4. Step 4: Simplify right side
    346,485x = 43,568,238,274.08
  5. Step 5: Solve for x
    x = 43,568,238,274.08/346,485
  6. Step 6: Final answer
    x = 125,743.50

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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.