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Finding the Fourth Proportional to 497,205.60, 745,808.40 and 142,240.80

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Solution

The fourth proportional to 497,205.60, 745,808.40 and 142,240.80 is: 213,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,205.60 : 745,808.40 = 142,240.80 : x
  2. Step 2: Convert to fraction form
    497,205.60/745,808.40 = 142,240.80/x
  3. Step 3: Cross multiply
    497,205.60x = 745,808.40 × 142,240.80
  4. Step 4: Simplify right side
    497,205.60x = 106,084,383,462.72
  5. Step 5: Solve for x
    x = 106,084,383,462.72/497,205.60
  6. Step 6: Final answer
    x = 213,361.20

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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.