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Finding the Fourth Proportional to 577,491.12, 864,285.12 and 412,350.48

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Solution

The fourth proportional to 577,491.12, 864,285.12 and 412,350.48 is: 617,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,491.12 : 864,285.12 = 412,350.48 : x
  2. Step 2: Convert to fraction form
    577,491.12/864,285.12 = 412,350.48/x
  3. Step 3: Cross multiply
    577,491.12x = 864,285.12 × 412,350.48
  4. Step 4: Simplify right side
    577,491.12x = 356,388,384,088.86
  5. Step 5: Solve for x
    x = 356,388,384,088.86/577,491.12
  6. Step 6: Final answer
    x = 617,132.23

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1.5x scale

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.