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Finding the Fourth Proportional to 472,038.70, 707,959.65 and 172,660.30

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Solution

The fourth proportional to 472,038.70, 707,959.65 and 172,660.30 is: 258,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,038.70 : 707,959.65 = 172,660.30 : x
  2. Step 2: Convert to fraction form
    472,038.70/707,959.65 = 172,660.30/x
  3. Step 3: Cross multiply
    472,038.70x = 707,959.65 × 172,660.30
  4. Step 4: Simplify right side
    472,038.70x = 122,236,525,556.90
  5. Step 5: Solve for x
    x = 122,236,525,556.90/472,038.70
  6. Step 6: Final answer
    x = 258,954.46

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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.