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Finding the Fourth Proportional to 420,937.83, 631,412.22 and 140,455.08

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Solution

The fourth proportional to 420,937.83, 631,412.22 and 140,455.08 is: 210,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,937.83 : 631,412.22 = 140,455.08 : x
  2. Step 2: Convert to fraction form
    420,937.83/631,412.22 = 140,455.08/x
  3. Step 3: Cross multiply
    420,937.83x = 631,412.22 × 140,455.08
  4. Step 4: Simplify right side
    420,937.83x = 88,685,053,873.08
  5. Step 5: Solve for x
    x = 88,685,053,873.08/420,937.83
  6. Step 6: Final answer
    x = 210,684.45

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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.