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Finding the Fourth Proportional to 566,992.85, 782,412.93 and 312,344.01

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Solution

The fourth proportional to 566,992.85, 782,412.93 and 312,344.01 is: 431,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,992.85 : 782,412.93 = 312,344.01 : x
  2. Step 2: Convert to fraction form
    566,992.85/782,412.93 = 312,344.01/x
  3. Step 3: Cross multiply
    566,992.85x = 782,412.93 × 312,344.01
  4. Step 4: Simplify right side
    566,992.85x = 244,381,992,032.05
  5. Step 5: Solve for x
    x = 244,381,992,032.05/566,992.85
  6. Step 6: Final answer
    x = 431,014.24

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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.