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Finding the Fourth Proportional to 512,873.82, 769,417.65 and 157,870.26

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Solution

The fourth proportional to 512,873.82, 769,417.65 and 157,870.26 is: 236,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,873.82 : 769,417.65 = 157,870.26 : x
  2. Step 2: Convert to fraction form
    512,873.82/769,417.65 = 157,870.26/x
  3. Step 3: Cross multiply
    512,873.82x = 769,417.65 × 157,870.26
  4. Step 4: Simplify right side
    512,873.82x = 121,468,164,454.09
  5. Step 5: Solve for x
    x = 121,468,164,454.09/512,873.82
  6. Step 6: Final answer
    x = 236,838.30

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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.