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Finding the Fourth Proportional to 519,728.66, 779,528.19 and 145,780.82

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Solution

The fourth proportional to 519,728.66, 779,528.19 and 145,780.82 is: 218,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,728.66 : 779,528.19 = 145,780.82 : x
  2. Step 2: Convert to fraction form
    519,728.66/779,528.19 = 145,780.82/x
  3. Step 3: Cross multiply
    519,728.66x = 779,528.19 × 145,780.82
  4. Step 4: Simplify right side
    519,728.66x = 113,640,258,751.32
  5. Step 5: Solve for x
    x = 113,640,258,751.32/519,728.66
  6. Step 6: Final answer
    x = 218,653.05

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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.