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Finding the Fourth Proportional to 511,423.64, 706,067.34 and 454,678.28

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Solution

The fourth proportional to 511,423.64, 706,067.34 and 454,678.28 is: 627,725.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,423.64 : 706,067.34 = 454,678.28 : x
  2. Step 2: Convert to fraction form
    511,423.64/706,067.34 = 454,678.28/x
  3. Step 3: Cross multiply
    511,423.64x = 706,067.34 × 454,678.28
  4. Step 4: Simplify right side
    511,423.64x = 321,033,483,715.38
  5. Step 5: Solve for x
    x = 321,033,483,715.38/511,423.64
  6. Step 6: Final answer
    x = 627,725.16

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Double scale
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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.