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Finding the Fourth Proportional to 275,802.30, 413,703.45 and 98,315.10

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Solution

The fourth proportional to 275,802.30, 413,703.45 and 98,315.10 is: 147,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,802.30 : 413,703.45 = 98,315.10 : x
  2. Step 2: Convert to fraction form
    275,802.30/413,703.45 = 98,315.10/x
  3. Step 3: Cross multiply
    275,802.30x = 413,703.45 × 98,315.10
  4. Step 4: Simplify right side
    275,802.30x = 40,673,296,057.10
  5. Step 5: Solve for x
    x = 40,673,296,057.10/275,802.30
  6. Step 6: Final answer
    x = 147,472.65

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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.