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Finding the Fourth Proportional to 382,897.92, 574,347.02 and 172,289.82

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Solution

The fourth proportional to 382,897.92, 574,347.02 and 172,289.82 is: 258,434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,897.92 : 574,347.02 = 172,289.82 : x
  2. Step 2: Convert to fraction form
    382,897.92/574,347.02 = 172,289.82/x
  3. Step 3: Cross multiply
    382,897.92x = 574,347.02 × 172,289.82
  4. Step 4: Simplify right side
    382,897.92x = 98,954,143,831.89
  5. Step 5: Solve for x
    x = 98,954,143,831.89/382,897.92
  6. Step 6: Final answer
    x = 258,434.79

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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.