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Finding the Fourth Proportional to 419,888.63, 630,019.01 and 220,161.51

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Solution

The fourth proportional to 419,888.63, 630,019.01 and 220,161.51 is: 330,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,888.63 : 630,019.01 = 220,161.51 : x
  2. Step 2: Convert to fraction form
    419,888.63/630,019.01 = 220,161.51/x
  3. Step 3: Cross multiply
    419,888.63x = 630,019.01 × 220,161.51
  4. Step 4: Simplify right side
    419,888.63x = 138,705,937,120.71
  5. Step 5: Solve for x
    x = 138,705,937,120.71/419,888.63
  6. Step 6: Final answer
    x = 330,339.82

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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.