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Finding the Fourth Proportional to 524,141.40, 784,397.70 and 313,930.20

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Solution

The fourth proportional to 524,141.40, 784,397.70 and 313,930.20 is: 469,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,141.40 : 784,397.70 = 313,930.20 : x
  2. Step 2: Convert to fraction form
    524,141.40/784,397.70 = 313,930.20/x
  3. Step 3: Cross multiply
    524,141.40x = 784,397.70 × 313,930.20
  4. Step 4: Simplify right side
    524,141.40x = 246,246,126,840.54
  5. Step 5: Solve for x
    x = 246,246,126,840.54/524,141.40
  6. Step 6: Final answer
    x = 469,808.58

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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.