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Finding the Fourth Proportional to 306,475.47, 422,994.39 and 191,807.40

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Solution

The fourth proportional to 306,475.47, 422,994.39 and 191,807.40 is: 264,730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,475.47 : 422,994.39 = 191,807.40 : x
  2. Step 2: Convert to fraction form
    306,475.47/422,994.39 = 191,807.40/x
  3. Step 3: Cross multiply
    306,475.47x = 422,994.39 × 191,807.40
  4. Step 4: Simplify right side
    306,475.47x = 81,133,454,160.49
  5. Step 5: Solve for x
    x = 81,133,454,160.49/306,475.47
  6. Step 6: Final answer
    x = 264,730.66

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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.