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Finding the Fourth Proportional to 420,854.64, 631,370.63 and 136,523.00

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Solution

The fourth proportional to 420,854.64, 631,370.63 and 136,523.00 is: 204,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,854.64 : 631,370.63 = 136,523.00 : x
  2. Step 2: Convert to fraction form
    420,854.64/631,370.63 = 136,523.00/x
  3. Step 3: Cross multiply
    420,854.64x = 631,370.63 × 136,523.00
  4. Step 4: Simplify right side
    420,854.64x = 86,196,608,680.02
  5. Step 5: Solve for x
    x = 86,196,608,680.02/420,854.64
  6. Step 6: Final answer
    x = 204,813.25

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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.