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Finding the Fourth Proportional to 557,690.42, 769,610.90 and 316,019.06

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Solution

The fourth proportional to 557,690.42, 769,610.90 and 316,019.06 is: 436,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,690.42 : 769,610.90 = 316,019.06 : x
  2. Step 2: Convert to fraction form
    557,690.42/769,610.90 = 316,019.06/x
  3. Step 3: Cross multiply
    557,690.42x = 769,610.90 × 316,019.06
  4. Step 4: Simplify right side
    557,690.42x = 243,211,713,527.69
  5. Step 5: Solve for x
    x = 243,211,713,527.69/557,690.42
  6. Step 6: Final answer
    x = 436,105.24

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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.