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Finding the Fourth Proportional to 403,772.80, 604,978.80 and 319,208.80

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Solution

The fourth proportional to 403,772.80, 604,978.80 and 319,208.80 is: 478,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,772.80 : 604,978.80 = 319,208.80 : x
  2. Step 2: Convert to fraction form
    403,772.80/604,978.80 = 319,208.80/x
  3. Step 3: Cross multiply
    403,772.80x = 604,978.80 × 319,208.80
  4. Step 4: Simplify right side
    403,772.80x = 193,114,556,773.44
  5. Step 5: Solve for x
    x = 193,114,556,773.44/403,772.80
  6. Step 6: Final answer
    x = 478,275.30

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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.