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Finding the Fourth Proportional to 407,042.88, 610,439.94 and 281,490

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Solution

The fourth proportional to 407,042.88, 610,439.94 and 281,490 is: 422,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,042.88 : 610,439.94 = 281,490 : x
  2. Step 2: Convert to fraction form
    407,042.88/610,439.94 = 281,490/x
  3. Step 3: Cross multiply
    407,042.88x = 610,439.94 × 281,490
  4. Step 4: Simplify right side
    407,042.88x = 171,832,738,710.60
  5. Step 5: Solve for x
    x = 171,832,738,710.60/407,042.88
  6. Step 6: Final answer
    x = 422,148.99

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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.