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Finding the Fourth Proportional to 565,947.52, 780,991.12 and 311,298.64

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Solution

The fourth proportional to 565,947.52, 780,991.12 and 311,298.64 is: 429,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,947.52 : 780,991.12 = 311,298.64 : x
  2. Step 2: Convert to fraction form
    565,947.52/780,991.12 = 311,298.64/x
  3. Step 3: Cross multiply
    565,947.52x = 780,991.12 × 311,298.64
  4. Step 4: Simplify right side
    565,947.52x = 243,121,473,508.08
  5. Step 5: Solve for x
    x = 243,121,473,508.08/565,947.52
  6. Step 6: Final answer
    x = 429,583.07

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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.