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Finding the Fourth Proportional to 565,629.92, 780,567.36 and 310,980.32

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Solution

The fourth proportional to 565,629.92, 780,567.36 and 310,980.32 is: 429,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,629.92 : 780,567.36 = 310,980.32 : x
  2. Step 2: Convert to fraction form
    565,629.92/780,567.36 = 310,980.32/x
  3. Step 3: Cross multiply
    565,629.92x = 780,567.36 × 310,980.32
  4. Step 4: Simplify right side
    565,629.92x = 242,741,087,394.36
  5. Step 5: Solve for x
    x = 242,741,087,394.36/565,629.92
  6. Step 6: Final answer
    x = 429,151.78

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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.