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Finding the Fourth Proportional to 314,959.32, 471,913.02 and 221,297.40

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Solution

The fourth proportional to 314,959.32, 471,913.02 and 221,297.40 is: 331,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,959.32 : 471,913.02 = 221,297.40 : x
  2. Step 2: Convert to fraction form
    314,959.32/471,913.02 = 221,297.40/x
  3. Step 3: Cross multiply
    314,959.32x = 471,913.02 × 221,297.40
  4. Step 4: Simplify right side
    314,959.32x = 104,433,124,352.15
  5. Step 5: Solve for x
    x = 104,433,124,352.15/314,959.32
  6. Step 6: Final answer
    x = 331,576.55

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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.