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Finding the Fourth Proportional to 497,059.79, 745,589.34 and 142,073.91

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Solution

The fourth proportional to 497,059.79, 745,589.34 and 142,073.91 is: 213,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,059.79 : 745,589.34 = 142,073.91 : x
  2. Step 2: Convert to fraction form
    497,059.79/745,589.34 = 142,073.91/x
  3. Step 3: Cross multiply
    497,059.79x = 745,589.34 × 142,073.91
  4. Step 4: Simplify right side
    497,059.79x = 105,928,792,788.12
  5. Step 5: Solve for x
    x = 105,928,792,788.12/497,059.79
  6. Step 6: Final answer
    x = 213,110.77

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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.