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Finding the Fourth Proportional to 644,967.32, 967,459.04 and 171,649.76

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Solution

The fourth proportional to 644,967.32, 967,459.04 and 171,649.76 is: 257,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,967.32 : 967,459.04 = 171,649.76 : x
  2. Step 2: Convert to fraction form
    644,967.32/967,459.04 = 171,649.76/x
  3. Step 3: Cross multiply
    644,967.32x = 967,459.04 × 171,649.76
  4. Step 4: Simplify right side
    644,967.32x = 166,064,112,025.83
  5. Step 5: Solve for x
    x = 166,064,112,025.83/644,967.32
  6. Step 6: Final answer
    x = 257,476.79

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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.