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Finding the Fourth Proportional to 420,565.79, 630,786.40 and 136,281.17

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Solution

The fourth proportional to 420,565.79, 630,786.40 and 136,281.17 is: 204,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,565.79 : 630,786.40 = 136,281.17 : x
  2. Step 2: Convert to fraction form
    420,565.79/630,786.40 = 136,281.17/x
  3. Step 3: Cross multiply
    420,565.79x = 630,786.40 × 136,281.17
  4. Step 4: Simplify right side
    420,565.79x = 85,964,305,117.45
  5. Step 5: Solve for x
    x = 85,964,305,117.45/420,565.79
  6. Step 6: Final answer
    x = 204,401.57

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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.