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Finding the Fourth Proportional to 496,072.80, 742,140.90 and 430,244.10

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Solution

The fourth proportional to 496,072.80, 742,140.90 and 430,244.10 is: 643,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,072.80 : 742,140.90 = 430,244.10 : x
  2. Step 2: Convert to fraction form
    496,072.80/742,140.90 = 430,244.10/x
  3. Step 3: Cross multiply
    496,072.80x = 742,140.90 × 430,244.10
  4. Step 4: Simplify right side
    496,072.80x = 319,301,743,593.69
  5. Step 5: Solve for x
    x = 319,301,743,593.69/496,072.80
  6. Step 6: Final answer
    x = 643,659.04

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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.