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Finding the Fourth Proportional to 420,101.27, 630,150.93 and 180,059.52

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Solution

The fourth proportional to 420,101.27, 630,150.93 and 180,059.52 is: 270,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,101.27 : 630,150.93 = 180,059.52 : x
  2. Step 2: Convert to fraction form
    420,101.27/630,150.93 = 180,059.52/x
  3. Step 3: Cross multiply
    420,101.27x = 630,150.93 × 180,059.52
  4. Step 4: Simplify right side
    420,101.27x = 113,464,677,232.66
  5. Step 5: Solve for x
    x = 113,464,677,232.66/420,101.27
  6. Step 6: Final answer
    x = 270,088.87

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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.