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Finding the Fourth Proportional to 418,434.94, 627,416.16 and 382,728.75

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Solution

The fourth proportional to 418,434.94, 627,416.16 and 382,728.75 is: 573,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,434.94 : 627,416.16 = 382,728.75 : x
  2. Step 2: Convert to fraction form
    418,434.94/627,416.16 = 382,728.75/x
  3. Step 3: Cross multiply
    418,434.94x = 627,416.16 × 382,728.75
  4. Step 4: Simplify right side
    418,434.94x = 240,130,202,646.60
  5. Step 5: Solve for x
    x = 240,130,202,646.60/418,434.94
  6. Step 6: Final answer
    x = 573,877.03

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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.