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Finding the Fourth Proportional to 566,929, 782,362.02 and 312,279.40

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Solution

The fourth proportional to 566,929, 782,362.02 and 312,279.40 is: 430,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,929 : 782,362.02 = 312,279.40 : x
  2. Step 2: Convert to fraction form
    566,929/782,362.02 = 312,279.40/x
  3. Step 3: Cross multiply
    566,929x = 782,362.02 × 312,279.40
  4. Step 4: Simplify right side
    566,929x = 244,315,542,188.39
  5. Step 5: Solve for x
    x = 244,315,542,188.39/566,929
  6. Step 6: Final answer
    x = 430,945.57

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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.