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Finding the Fourth Proportional to 307,856.86, 461,667.63 and 147,887.23

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Solution

The fourth proportional to 307,856.86, 461,667.63 and 147,887.23 is: 221,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,856.86 : 461,667.63 = 147,887.23 : x
  2. Step 2: Convert to fraction form
    307,856.86/461,667.63 = 147,887.23/x
  3. Step 3: Cross multiply
    307,856.86x = 461,667.63 × 147,887.23
  4. Step 4: Simplify right side
    307,856.86x = 68,274,746,981.36
  5. Step 5: Solve for x
    x = 68,274,746,981.36/307,856.86
  6. Step 6: Final answer
    x = 221,774.32

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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.