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Finding the Fourth Proportional to 419,381.10, 628,547.04 and 330,282.72

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Solution

The fourth proportional to 419,381.10, 628,547.04 and 330,282.72 is: 495,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,381.10 : 628,547.04 = 330,282.72 : x
  2. Step 2: Convert to fraction form
    419,381.10/628,547.04 = 330,282.72/x
  3. Step 3: Cross multiply
    419,381.10x = 628,547.04 × 330,282.72
  4. Step 4: Simplify right side
    419,381.10x = 207,598,226,019.15
  5. Step 5: Solve for x
    x = 207,598,226,019.15/419,381.10
  6. Step 6: Final answer
    x = 495,010.92

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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.