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Finding the Fourth Proportional to 497,978.46, 746,972.82 and 142,991.64

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Solution

The fourth proportional to 497,978.46, 746,972.82 and 142,991.64 is: 214,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,978.46 : 746,972.82 = 142,991.64 : x
  2. Step 2: Convert to fraction form
    497,978.46/746,972.82 = 142,991.64/x
  3. Step 3: Cross multiply
    497,978.46x = 746,972.82 × 142,991.64
  4. Step 4: Simplify right side
    497,978.46x = 106,810,868,567.23
  5. Step 5: Solve for x
    x = 106,810,868,567.23/497,978.46
  6. Step 6: Final answer
    x = 214,488.93

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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.