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Finding the Fourth Proportional to 511,855.20, 767,840.40 and 156,866.40

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Solution

The fourth proportional to 511,855.20, 767,840.40 and 156,866.40 is: 235,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,855.20 : 767,840.40 = 156,866.40 : x
  2. Step 2: Convert to fraction form
    511,855.20/767,840.40 = 156,866.40/x
  3. Step 3: Cross multiply
    511,855.20x = 767,840.40 × 156,866.40
  4. Step 4: Simplify right side
    511,855.20x = 120,448,359,322.56
  5. Step 5: Solve for x
    x = 120,448,359,322.56/511,855.20
  6. Step 6: Final answer
    x = 235,317.25

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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.