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Finding the Fourth Proportional to 450,195.84, 678,666.24 and 419,754.24

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Solution

The fourth proportional to 450,195.84, 678,666.24 and 419,754.24 is: 632,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,195.84 : 678,666.24 = 419,754.24 : x
  2. Step 2: Convert to fraction form
    450,195.84/678,666.24 = 419,754.24/x
  3. Step 3: Cross multiply
    450,195.84x = 678,666.24 × 419,754.24
  4. Step 4: Simplify right side
    450,195.84x = 284,873,031,784.86
  5. Step 5: Solve for x
    x = 284,873,031,784.86/450,195.84
  6. Step 6: Final answer
    x = 632,775.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.