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Finding the Fourth Proportional to 565,652.34, 780,583.80 and 320,659.82

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Solution

The fourth proportional to 565,652.34, 780,583.80 and 320,659.82 is: 442,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,652.34 : 780,583.80 = 320,659.82 : x
  2. Step 2: Convert to fraction form
    565,652.34/780,583.80 = 320,659.82/x
  3. Step 3: Cross multiply
    565,652.34x = 780,583.80 × 320,659.82
  4. Step 4: Simplify right side
    565,652.34x = 250,301,861,551.90
  5. Step 5: Solve for x
    x = 250,301,861,551.90/565,652.34
  6. Step 6: Final answer
    x = 442,501.24

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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.