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Finding the Fourth Proportional to 315,099.30, 472,994.55 and 196,904.10

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Solution

The fourth proportional to 315,099.30, 472,994.55 and 196,904.10 is: 295,572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,099.30 : 472,994.55 = 196,904.10 : x
  2. Step 2: Convert to fraction form
    315,099.30/472,994.55 = 196,904.10/x
  3. Step 3: Cross multiply
    315,099.30x = 472,994.55 × 196,904.10
  4. Step 4: Simplify right side
    315,099.30x = 93,134,566,172.66
  5. Step 5: Solve for x
    x = 93,134,566,172.66/315,099.30
  6. Step 6: Final answer
    x = 295,572.11

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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.