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Finding the Fourth Proportional to 463,911.48, 640,213.56 and 442,653.84

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Solution

The fourth proportional to 463,911.48, 640,213.56 and 442,653.84 is: 610,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,911.48 : 640,213.56 = 442,653.84 : x
  2. Step 2: Convert to fraction form
    463,911.48/640,213.56 = 442,653.84/x
  3. Step 3: Cross multiply
    463,911.48x = 640,213.56 × 442,653.84
  4. Step 4: Simplify right side
    463,911.48x = 283,392,990,754.07
  5. Step 5: Solve for x
    x = 283,392,990,754.07/463,911.48
  6. Step 6: Final answer
    x = 610,877.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.