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Finding the Fourth Proportional to 345,816, 477,226.08 and 186,840

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Solution

The fourth proportional to 345,816, 477,226.08 and 186,840 is: 257,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,816 : 477,226.08 = 186,840 : x
  2. Step 2: Convert to fraction form
    345,816/477,226.08 = 186,840/x
  3. Step 3: Cross multiply
    345,816x = 477,226.08 × 186,840
  4. Step 4: Simplify right side
    345,816x = 89,164,920,787.20
  5. Step 5: Solve for x
    x = 89,164,920,787.20/345,816
  6. Step 6: Final answer
    x = 257,839.20

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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.