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Finding the Fourth Proportional to 628,223.42, 866,947.65 and 341,742.81

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Solution

The fourth proportional to 628,223.42, 866,947.65 and 341,742.81 is: 471,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,223.42 : 866,947.65 = 341,742.81 : x
  2. Step 2: Convert to fraction form
    628,223.42/866,947.65 = 341,742.81/x
  3. Step 3: Cross multiply
    628,223.42x = 866,947.65 × 341,742.81
  4. Step 4: Simplify right side
    628,223.42x = 296,273,126,033.90
  5. Step 5: Solve for x
    x = 296,273,126,033.90/628,223.42
  6. Step 6: Final answer
    x = 471,604.72

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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.