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Finding the Fourth Proportional to 319,153.56, 478,323.30 and 169,465.56

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Solution

The fourth proportional to 319,153.56, 478,323.30 and 169,465.56 is: 253,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,153.56 : 478,323.30 = 169,465.56 : x
  2. Step 2: Convert to fraction form
    319,153.56/478,323.30 = 169,465.56/x
  3. Step 3: Cross multiply
    319,153.56x = 478,323.30 × 169,465.56
  4. Step 4: Simplify right side
    319,153.56x = 81,059,325,895.55
  5. Step 5: Solve for x
    x = 81,059,325,895.55/319,153.56
  6. Step 6: Final answer
    x = 253,982.21

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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.