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Finding the Fourth Proportional to 420,598.14, 630,802.89 and 121,011.90

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Solution

The fourth proportional to 420,598.14, 630,802.89 and 121,011.90 is: 181,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,598.14 : 630,802.89 = 121,011.90 : x
  2. Step 2: Convert to fraction form
    420,598.14/630,802.89 = 121,011.90/x
  3. Step 3: Cross multiply
    420,598.14x = 630,802.89 × 121,011.90
  4. Step 4: Simplify right side
    420,598.14x = 76,334,656,244.39
  5. Step 5: Solve for x
    x = 76,334,656,244.39/420,598.14
  6. Step 6: Final answer
    x = 181,490.71

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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.