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Finding the Fourth Proportional to 819,659.46, 1,131,135 and 457,106.25

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Solution

The fourth proportional to 819,659.46, 1,131,135 and 457,106.25 is: 630,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,659.46 : 1,131,135 = 457,106.25 : x
  2. Step 2: Convert to fraction form
    819,659.46/1,131,135 = 457,106.25/x
  3. Step 3: Cross multiply
    819,659.46x = 1,131,135 × 457,106.25
  4. Step 4: Simplify right side
    819,659.46x = 517,048,878,093.75
  5. Step 5: Solve for x
    x = 517,048,878,093.75/819,659.46
  6. Step 6: Final answer
    x = 630,809.38

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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.