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Finding the Fourth Proportional to 501,782.70, 693,034.82 and 330,466.47

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Solution

The fourth proportional to 501,782.70, 693,034.82 and 330,466.47 is: 456,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,782.70 : 693,034.82 = 330,466.47 : x
  2. Step 2: Convert to fraction form
    501,782.70/693,034.82 = 330,466.47/x
  3. Step 3: Cross multiply
    501,782.70x = 693,034.82 × 330,466.47
  4. Step 4: Simplify right side
    501,782.70x = 229,024,768,900.15
  5. Step 5: Solve for x
    x = 229,024,768,900.15/501,782.70
  6. Step 6: Final answer
    x = 456,422.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.