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Finding the Fourth Proportional to 420,515.76, 630,831.96 and 121,013.40

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Solution

The fourth proportional to 420,515.76, 630,831.96 and 121,013.40 is: 181,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,515.76 : 630,831.96 = 121,013.40 : x
  2. Step 2: Convert to fraction form
    420,515.76/630,831.96 = 121,013.40/x
  3. Step 3: Cross multiply
    420,515.76x = 630,831.96 × 121,013.40
  4. Step 4: Simplify right side
    420,515.76x = 76,339,120,308.26
  5. Step 5: Solve for x
    x = 76,339,120,308.26/420,515.76
  6. Step 6: Final answer
    x = 181,536.88

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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.