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Finding the Fourth Proportional to 419,045.40, 628,592.40 and 119,547.90

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Solution

The fourth proportional to 419,045.40, 628,592.40 and 119,547.90 is: 179,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,045.40 : 628,592.40 = 119,547.90 : x
  2. Step 2: Convert to fraction form
    419,045.40/628,592.40 = 119,547.90/x
  3. Step 3: Cross multiply
    419,045.40x = 628,592.40 × 119,547.90
  4. Step 4: Simplify right side
    419,045.40x = 75,146,901,375.96
  5. Step 5: Solve for x
    x = 75,146,901,375.96/419,045.40
  6. Step 6: Final answer
    x = 179,328.78

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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.