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Finding the Fourth Proportional to 308,363.36, 425,612.56 and 200,746

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Solution

The fourth proportional to 308,363.36, 425,612.56 and 200,746 is: 277,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,363.36 : 425,612.56 = 200,746 : x
  2. Step 2: Convert to fraction form
    308,363.36/425,612.56 = 200,746/x
  3. Step 3: Cross multiply
    308,363.36x = 425,612.56 × 200,746
  4. Step 4: Simplify right side
    308,363.36x = 85,440,018,969.76
  5. Step 5: Solve for x
    x = 85,440,018,969.76/308,363.36
  6. Step 6: Final answer
    x = 277,075.78

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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.