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Finding the Fourth Proportional to 519,765.62, 779,676.34 and 164,807.32

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Solution

The fourth proportional to 519,765.62, 779,676.34 and 164,807.32 is: 247,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,765.62 : 779,676.34 = 164,807.32 : x
  2. Step 2: Convert to fraction form
    519,765.62/779,676.34 = 164,807.32/x
  3. Step 3: Cross multiply
    519,765.62x = 779,676.34 × 164,807.32
  4. Step 4: Simplify right side
    519,765.62x = 128,496,368,062.81
  5. Step 5: Solve for x
    x = 128,496,368,062.81/519,765.62
  6. Step 6: Final answer
    x = 247,219.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.