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Finding the Fourth Proportional to 565,644.48, 780,569.28 and 310,993.68

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Solution

The fourth proportional to 565,644.48, 780,569.28 and 310,993.68 is: 429,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,644.48 : 780,569.28 = 310,993.68 : x
  2. Step 2: Convert to fraction form
    565,644.48/780,569.28 = 310,993.68/x
  3. Step 3: Cross multiply
    565,644.48x = 780,569.28 × 310,993.68
  4. Step 4: Simplify right side
    565,644.48x = 242,752,112,882.15
  5. Step 5: Solve for x
    x = 242,752,112,882.15/565,644.48
  6. Step 6: Final answer
    x = 429,160.23

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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.