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Finding the Fourth Proportional to 472,968.80, 710,272.40 and 333,704.80

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Solution

The fourth proportional to 472,968.80, 710,272.40 and 333,704.80 is: 501,135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,968.80 : 710,272.40 = 333,704.80 : x
  2. Step 2: Convert to fraction form
    472,968.80/710,272.40 = 333,704.80/x
  3. Step 3: Cross multiply
    472,968.80x = 710,272.40 × 333,704.80
  4. Step 4: Simplify right side
    472,968.80x = 237,021,309,187.52
  5. Step 5: Solve for x
    x = 237,021,309,187.52/472,968.80
  6. Step 6: Final answer
    x = 501,135.19

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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.