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Finding the Fourth Proportional to 438,400.80, 657,860.40 and 319,773.60

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Solution

The fourth proportional to 438,400.80, 657,860.40 and 319,773.60 is: 479,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,400.80 : 657,860.40 = 319,773.60 : x
  2. Step 2: Convert to fraction form
    438,400.80/657,860.40 = 319,773.60/x
  3. Step 3: Cross multiply
    438,400.80x = 657,860.40 × 319,773.60
  4. Step 4: Simplify right side
    438,400.80x = 210,366,388,405.44
  5. Step 5: Solve for x
    x = 210,366,388,405.44/438,400.80
  6. Step 6: Final answer
    x = 479,849.46

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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.