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Finding the Fourth Proportional to 334,912.40, 501,785.40 and 288,256.40

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Solution

The fourth proportional to 334,912.40, 501,785.40 and 288,256.40 is: 431,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,912.40 : 501,785.40 = 288,256.40 : x
  2. Step 2: Convert to fraction form
    334,912.40/501,785.40 = 288,256.40/x
  3. Step 3: Cross multiply
    334,912.40x = 501,785.40 × 288,256.40
  4. Step 4: Simplify right side
    334,912.40x = 144,642,852,976.56
  5. Step 5: Solve for x
    x = 144,642,852,976.56/334,912.40
  6. Step 6: Final answer
    x = 431,882.64

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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.