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Finding the Fourth Proportional to 565,588.10, 780,491.67 and 310,937.42

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Solution

The fourth proportional to 565,588.10, 780,491.67 and 310,937.42 is: 429,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,588.10 : 780,491.67 = 310,937.42 : x
  2. Step 2: Convert to fraction form
    565,588.10/780,491.67 = 310,937.42/x
  3. Step 3: Cross multiply
    565,588.10x = 780,491.67 × 310,937.42
  4. Step 4: Simplify right side
    565,588.10x = 242,684,066,201.29
  5. Step 5: Solve for x
    x = 242,684,066,201.29/565,588.10
  6. Step 6: Final answer
    x = 429,082.69

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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.