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Finding the Fourth Proportional to 492,816.51, 680,058.87 and 277,943.76

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Solution

The fourth proportional to 492,816.51, 680,058.87 and 277,943.76 is: 383,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,816.51 : 680,058.87 = 277,943.76 : x
  2. Step 2: Convert to fraction form
    492,816.51/680,058.87 = 277,943.76/x
  3. Step 3: Cross multiply
    492,816.51x = 680,058.87 × 277,943.76
  4. Step 4: Simplify right side
    492,816.51x = 189,018,119,349.15
  5. Step 5: Solve for x
    x = 189,018,119,349.15/492,816.51
  6. Step 6: Final answer
    x = 383,546.65

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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.