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Finding the Fourth Proportional to 405,616.34, 607,995.46 and 152,787.43

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Solution

The fourth proportional to 405,616.34, 607,995.46 and 152,787.43 is: 229,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,616.34 : 607,995.46 = 152,787.43 : x
  2. Step 2: Convert to fraction form
    405,616.34/607,995.46 = 152,787.43/x
  3. Step 3: Cross multiply
    405,616.34x = 607,995.46 × 152,787.43
  4. Step 4: Simplify right side
    405,616.34x = 92,894,064,736.05
  5. Step 5: Solve for x
    x = 92,894,064,736.05/405,616.34
  6. Step 6: Final answer
    x = 229,019.53

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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.