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Finding the Fourth Proportional to 298,905, 412,480.64 and 162,941.60

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Solution

The fourth proportional to 298,905, 412,480.64 and 162,941.60 is: 224,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,905 : 412,480.64 = 162,941.60 : x
  2. Step 2: Convert to fraction form
    298,905/412,480.64 = 162,941.60/x
  3. Step 3: Cross multiply
    298,905x = 412,480.64 × 162,941.60
  4. Step 4: Simplify right side
    298,905x = 67,210,255,450.62
  5. Step 5: Solve for x
    x = 67,210,255,450.62/298,905
  6. Step 6: Final answer
    x = 224,854.91

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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.