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Finding the Fourth Proportional to 207,364.40, 310,463.40 and 186,369.20

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Solution

The fourth proportional to 207,364.40, 310,463.40 and 186,369.20 is: 279,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364.40 : 310,463.40 = 186,369.20 : x
  2. Step 2: Convert to fraction form
    207,364.40/310,463.40 = 186,369.20/x
  3. Step 3: Cross multiply
    207,364.40x = 310,463.40 × 186,369.20
  4. Step 4: Simplify right side
    207,364.40x = 57,860,815,487.28
  5. Step 5: Solve for x
    x = 57,860,815,487.28/207,364.40
  6. Step 6: Final answer
    x = 279,029.65

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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.