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Finding the Fourth Proportional to 314,152.80, 471,207.60 and 100,917.60

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Solution

The fourth proportional to 314,152.80, 471,207.60 and 100,917.60 is: 151,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,152.80 : 471,207.60 = 100,917.60 : x
  2. Step 2: Convert to fraction form
    314,152.80/471,207.60 = 100,917.60/x
  3. Step 3: Cross multiply
    314,152.80x = 471,207.60 × 100,917.60
  4. Step 4: Simplify right side
    314,152.80x = 47,553,140,093.76
  5. Step 5: Solve for x
    x = 47,553,140,093.76/314,152.80
  6. Step 6: Final answer
    x = 151,369.46

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1.5x scale

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.