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Finding the Fourth Proportional to 385,662.09, 578,732.10 and 186,002.49

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Solution

The fourth proportional to 385,662.09, 578,732.10 and 186,002.49 is: 279,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,662.09 : 578,732.10 = 186,002.49 : x
  2. Step 2: Convert to fraction form
    385,662.09/578,732.10 = 186,002.49/x
  3. Step 3: Cross multiply
    385,662.09x = 578,732.10 × 186,002.49
  4. Step 4: Simplify right side
    385,662.09x = 107,645,611,642.93
  5. Step 5: Solve for x
    x = 107,645,611,642.93/385,662.09
  6. Step 6: Final answer
    x = 279,118.99

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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.