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Finding the Fourth Proportional to 524,107.80, 784,995.30 and 512,443.80

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Solution

The fourth proportional to 524,107.80, 784,995.30 and 512,443.80 is: 767,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,107.80 : 784,995.30 = 512,443.80 : x
  2. Step 2: Convert to fraction form
    524,107.80/784,995.30 = 512,443.80/x
  3. Step 3: Cross multiply
    524,107.80x = 784,995.30 × 512,443.80
  4. Step 4: Simplify right side
    524,107.80x = 402,265,974,514.14
  5. Step 5: Solve for x
    x = 402,265,974,514.14/524,107.80
  6. Step 6: Final answer
    x = 767,525.26

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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.