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Finding the Fourth Proportional to 442,140.50, 610,252.30 and 280,964.06

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Solution

The fourth proportional to 442,140.50, 610,252.30 and 280,964.06 is: 387,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,140.50 : 610,252.30 = 280,964.06 : x
  2. Step 2: Convert to fraction form
    442,140.50/610,252.30 = 280,964.06/x
  3. Step 3: Cross multiply
    442,140.50x = 610,252.30 × 280,964.06
  4. Step 4: Simplify right side
    442,140.50x = 171,458,963,832.34
  5. Step 5: Solve for x
    x = 171,458,963,832.34/442,140.50
  6. Step 6: Final answer
    x = 387,792.94

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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.