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Finding the Fourth Proportional to 280,394.74, 386,944.37 and 179,792.50

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Solution

The fourth proportional to 280,394.74, 386,944.37 and 179,792.50 is: 248,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,394.74 : 386,944.37 = 179,792.50 : x
  2. Step 2: Convert to fraction form
    280,394.74/386,944.37 = 179,792.50/x
  3. Step 3: Cross multiply
    280,394.74x = 386,944.37 × 179,792.50
  4. Step 4: Simplify right side
    280,394.74x = 69,569,695,643.23
  5. Step 5: Solve for x
    x = 69,569,695,643.23/280,394.74
  6. Step 6: Final answer
    x = 248,113.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.