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Finding the Fourth Proportional to 208,321.80, 310,653.39 and 206,427.30

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Solution

The fourth proportional to 208,321.80, 310,653.39 and 206,427.30 is: 307,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,321.80 : 310,653.39 = 206,427.30 : x
  2. Step 2: Convert to fraction form
    208,321.80/310,653.39 = 206,427.30/x
  3. Step 3: Cross multiply
    208,321.80x = 310,653.39 × 206,427.30
  4. Step 4: Simplify right side
    208,321.80x = 64,127,340,533.55
  5. Step 5: Solve for x
    x = 64,127,340,533.55/208,321.80
  6. Step 6: Final answer
    x = 307,828.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.