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Finding the Fourth Proportional to 420,960.98, 631,690.62 and 154,908.35

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Solution

The fourth proportional to 420,960.98, 631,690.62 and 154,908.35 is: 232,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,960.98 : 631,690.62 = 154,908.35 : x
  2. Step 2: Convert to fraction form
    420,960.98/631,690.62 = 154,908.35/x
  3. Step 3: Cross multiply
    420,960.98x = 631,690.62 × 154,908.35
  4. Step 4: Simplify right side
    420,960.98x = 97,854,150,284.16
  5. Step 5: Solve for x
    x = 97,854,150,284.16/420,960.98
  6. Step 6: Final answer
    x = 232,454.20

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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.