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Finding the Fourth Proportional to 391,649.40, 540,477.96 and 221,916.60

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Solution

The fourth proportional to 391,649.40, 540,477.96 and 221,916.60 is: 306,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,649.40 : 540,477.96 = 221,916.60 : x
  2. Step 2: Convert to fraction form
    391,649.40/540,477.96 = 221,916.60/x
  3. Step 3: Cross multiply
    391,649.40x = 540,477.96 × 221,916.60
  4. Step 4: Simplify right side
    391,649.40x = 119,941,031,258.14
  5. Step 5: Solve for x
    x = 119,941,031,258.14/391,649.40
  6. Step 6: Final answer
    x = 306,245.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.