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Finding the Fourth Proportional to 565,887.48, 780,920.64 and 311,233.20

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Solution

The fourth proportional to 565,887.48, 780,920.64 and 311,233.20 is: 429,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,887.48 : 780,920.64 = 311,233.20 : x
  2. Step 2: Convert to fraction form
    565,887.48/780,920.64 = 311,233.20/x
  3. Step 3: Cross multiply
    565,887.48x = 780,920.64 × 311,233.20
  4. Step 4: Simplify right side
    565,887.48x = 243,048,429,733.25
  5. Step 5: Solve for x
    x = 243,048,429,733.25/565,887.48
  6. Step 6: Final answer
    x = 429,499.57

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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.