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Finding the Fourth Proportional to 496,721.40, 745,110.90 and 141,761.40

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Solution

The fourth proportional to 496,721.40, 745,110.90 and 141,761.40 is: 212,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,721.40 : 745,110.90 = 141,761.40 : x
  2. Step 2: Convert to fraction form
    496,721.40/745,110.90 = 141,761.40/x
  3. Step 3: Cross multiply
    496,721.40x = 745,110.90 × 141,761.40
  4. Step 4: Simplify right side
    496,721.40x = 105,627,964,339.26
  5. Step 5: Solve for x
    x = 105,627,964,339.26/496,721.40
  6. Step 6: Final answer
    x = 212,650.32

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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.