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Finding the Fourth Proportional to 646,833.63, 969,177.83 and 393,347.35

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Solution

The fourth proportional to 646,833.63, 969,177.83 and 393,347.35 is: 589,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,833.63 : 969,177.83 = 393,347.35 : x
  2. Step 2: Convert to fraction form
    646,833.63/969,177.83 = 393,347.35/x
  3. Step 3: Cross multiply
    646,833.63x = 969,177.83 × 393,347.35
  4. Step 4: Simplify right side
    646,833.63x = 381,223,531,109.25
  5. Step 5: Solve for x
    x = 381,223,531,109.25/646,833.63
  6. Step 6: Final answer
    x = 589,368.75

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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.