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Finding the Fourth Proportional to 565,008.71, 779,717.39 and 310,359.89

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Solution

The fourth proportional to 565,008.71, 779,717.39 and 310,359.89 is: 428,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,008.71 : 779,717.39 = 310,359.89 : x
  2. Step 2: Convert to fraction form
    565,008.71/779,717.39 = 310,359.89/x
  3. Step 3: Cross multiply
    565,008.71x = 779,717.39 × 310,359.89
  4. Step 4: Simplify right side
    565,008.71x = 241,992,997,941.10
  5. Step 5: Solve for x
    x = 241,992,997,941.10/565,008.71
  6. Step 6: Final answer
    x = 428,299.59

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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.