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Finding the Fourth Proportional to 516,830.16, 775,183.55 and 137,779.32

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Solution

The fourth proportional to 516,830.16, 775,183.55 and 137,779.32 is: 206,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,830.16 : 775,183.55 = 137,779.32 : x
  2. Step 2: Convert to fraction form
    516,830.16/775,183.55 = 137,779.32/x
  3. Step 3: Cross multiply
    516,830.16x = 775,183.55 × 137,779.32
  4. Step 4: Simplify right side
    516,830.16x = 106,804,261,705.29
  5. Step 5: Solve for x
    x = 106,804,261,705.29/516,830.16
  6. Step 6: Final answer
    x = 206,652.53

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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.