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Finding the Fourth Proportional to 511,424.64, 706,068.72 and 454,679.28

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Solution

The fourth proportional to 511,424.64, 706,068.72 and 454,679.28 is: 627,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,424.64 : 706,068.72 = 454,679.28 : x
  2. Step 2: Convert to fraction form
    511,424.64/706,068.72 = 454,679.28/x
  3. Step 3: Cross multiply
    511,424.64x = 706,068.72 × 454,679.28
  4. Step 4: Simplify right side
    511,424.64x = 321,034,817,240.12
  5. Step 5: Solve for x
    x = 321,034,817,240.12/511,424.64
  6. Step 6: Final answer
    x = 627,726.54

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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.