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Finding the Fourth Proportional to 613,856.16, 920,838.24 and 187,488.21

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Solution

The fourth proportional to 613,856.16, 920,838.24 and 187,488.21 is: 281,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,856.16 : 920,838.24 = 187,488.21 : x
  2. Step 2: Convert to fraction form
    613,856.16/920,838.24 = 187,488.21/x
  3. Step 3: Cross multiply
    613,856.16x = 920,838.24 × 187,488.21
  4. Step 4: Simplify right side
    613,856.16x = 172,646,313,317.15
  5. Step 5: Solve for x
    x = 172,646,313,317.15/613,856.16
  6. Step 6: Final answer
    x = 281,248.81

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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.