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Finding the Fourth Proportional to 491,512.88, 678,150.71 and 317,009.25

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Solution

The fourth proportional to 491,512.88, 678,150.71 and 317,009.25 is: 437,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,512.88 : 678,150.71 = 317,009.25 : x
  2. Step 2: Convert to fraction form
    491,512.88/678,150.71 = 317,009.25/x
  3. Step 3: Cross multiply
    491,512.88x = 678,150.71 × 317,009.25
  4. Step 4: Simplify right side
    491,512.88x = 214,980,048,756.59
  5. Step 5: Solve for x
    x = 214,980,048,756.59/491,512.88
  6. Step 6: Final answer
    x = 437,384.36

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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.