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Finding the Fourth Proportional to 565,717.08, 780,577.86 and 317,367.36

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Solution

The fourth proportional to 565,717.08, 780,577.86 and 317,367.36 is: 437,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,717.08 : 780,577.86 = 317,367.36 : x
  2. Step 2: Convert to fraction form
    565,717.08/780,577.86 = 317,367.36/x
  3. Step 3: Cross multiply
    565,717.08x = 780,577.86 × 317,367.36
  4. Step 4: Simplify right side
    565,717.08x = 247,729,934,702.65
  5. Step 5: Solve for x
    x = 247,729,934,702.65/565,717.08
  6. Step 6: Final answer
    x = 437,904.29

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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.