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Finding the Fourth Proportional to 511,140.64, 704,685.84 and 357,972.64

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Solution

The fourth proportional to 511,140.64, 704,685.84 and 357,972.64 is: 493,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,140.64 : 704,685.84 = 357,972.64 : x
  2. Step 2: Convert to fraction form
    511,140.64/704,685.84 = 357,972.64/x
  3. Step 3: Cross multiply
    511,140.64x = 704,685.84 × 357,972.64
  4. Step 4: Simplify right side
    511,140.64x = 252,258,250,515.42
  5. Step 5: Solve for x
    x = 252,258,250,515.42/511,140.64
  6. Step 6: Final answer
    x = 493,520.24

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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.