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Finding the Fourth Proportional to 453,530.19, 680,393.73 and 137,978.91

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Solution

The fourth proportional to 453,530.19, 680,393.73 and 137,978.91 is: 206,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,530.19 : 680,393.73 = 137,978.91 : x
  2. Step 2: Convert to fraction form
    453,530.19/680,393.73 = 137,978.91/x
  3. Step 3: Cross multiply
    453,530.19x = 680,393.73 × 137,978.91
  4. Step 4: Simplify right side
    453,530.19x = 93,879,985,236.23
  5. Step 5: Solve for x
    x = 93,879,985,236.23/453,530.19
  6. Step 6: Final answer
    x = 206,998.32

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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.