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Finding the Fourth Proportional to 293,153.28, 439,730.52 and 71,537.28

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Solution

The fourth proportional to 293,153.28, 439,730.52 and 71,537.28 is: 107,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,153.28 : 439,730.52 = 71,537.28 : x
  2. Step 2: Convert to fraction form
    293,153.28/439,730.52 = 71,537.28/x
  3. Step 3: Cross multiply
    293,153.28x = 439,730.52 × 71,537.28
  4. Step 4: Simplify right side
    293,153.28x = 31,457,125,333.79
  5. Step 5: Solve for x
    x = 31,457,125,333.79/293,153.28
  6. Step 6: Final answer
    x = 107,306.07

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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.