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Finding the Fourth Proportional to 320,413, 442,152.66 and 177,164.68

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Solution

The fourth proportional to 320,413, 442,152.66 and 177,164.68 is: 244,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,413 : 442,152.66 = 177,164.68 : x
  2. Step 2: Convert to fraction form
    320,413/442,152.66 = 177,164.68/x
  3. Step 3: Cross multiply
    320,413x = 442,152.66 × 177,164.68
  4. Step 4: Simplify right side
    320,413x = 78,333,834,520.05
  5. Step 5: Solve for x
    x = 78,333,834,520.05/320,413
  6. Step 6: Final answer
    x = 244,477.70

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1.5x scale

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.