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Finding the Fourth Proportional to 559,539.33, 838,711.32 and 319,135.58

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Solution

The fourth proportional to 559,539.33, 838,711.32 and 319,135.58 is: 478,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,539.33 : 838,711.32 = 319,135.58 : x
  2. Step 2: Convert to fraction form
    559,539.33/838,711.32 = 319,135.58/x
  3. Step 3: Cross multiply
    559,539.33x = 838,711.32 × 319,135.58
  4. Step 4: Simplify right side
    559,539.33x = 267,662,619,367.21
  5. Step 5: Solve for x
    x = 267,662,619,367.21/559,539.33
  6. Step 6: Final answer
    x = 478,362.48

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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.