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Finding the Fourth Proportional to 524,031.40, 784,232.70 and 313,820.20

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Solution

The fourth proportional to 524,031.40, 784,232.70 and 313,820.20 is: 469,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,031.40 : 784,232.70 = 313,820.20 : x
  2. Step 2: Convert to fraction form
    524,031.40/784,232.70 = 313,820.20/x
  3. Step 3: Cross multiply
    524,031.40x = 784,232.70 × 313,820.20
  4. Step 4: Simplify right side
    524,031.40x = 246,108,062,760.54
  5. Step 5: Solve for x
    x = 246,108,062,760.54/524,031.40
  6. Step 6: Final answer
    x = 469,643.73

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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.