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Finding the Fourth Proportional to 529,674.30, 730,953.45 and 311,892.39

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Solution

The fourth proportional to 529,674.30, 730,953.45 and 311,892.39 is: 430,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,674.30 : 730,953.45 = 311,892.39 : x
  2. Step 2: Convert to fraction form
    529,674.30/730,953.45 = 311,892.39/x
  3. Step 3: Cross multiply
    529,674.30x = 730,953.45 × 311,892.39
  4. Step 4: Simplify right side
    529,674.30x = 227,978,818,499.25
  5. Step 5: Solve for x
    x = 227,978,818,499.25/529,674.30
  6. Step 6: Final answer
    x = 430,413.22

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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.