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Finding the Fourth Proportional to 497,205, 745,739.46 and 142,250.04

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Solution

The fourth proportional to 497,205, 745,739.46 and 142,250.04 is: 213,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,205 : 745,739.46 = 142,250.04 : x
  2. Step 2: Convert to fraction form
    497,205/745,739.46 = 142,250.04/x
  3. Step 3: Cross multiply
    497,205x = 745,739.46 × 142,250.04
  4. Step 4: Simplify right side
    497,205x = 106,081,468,014.58
  5. Step 5: Solve for x
    x = 106,081,468,014.58/497,205
  6. Step 6: Final answer
    x = 213,355.59

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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.