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Finding the Fourth Proportional to 561,470.78, 774,908.70 and 357,456.54

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Solution

The fourth proportional to 561,470.78, 774,908.70 and 357,456.54 is: 493,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,470.78 : 774,908.70 = 357,456.54 : x
  2. Step 2: Convert to fraction form
    561,470.78/774,908.70 = 357,456.54/x
  3. Step 3: Cross multiply
    561,470.78x = 774,908.70 × 357,456.54
  4. Step 4: Simplify right side
    561,470.78x = 276,996,182,717.90
  5. Step 5: Solve for x
    x = 276,996,182,717.90/561,470.78
  6. Step 6: Final answer
    x = 493,340.34

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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.