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Finding the Fourth Proportional to 505,897.70, 698,210.03 and 322,077.56

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Solution

The fourth proportional to 505,897.70, 698,210.03 and 322,077.56 is: 444,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,897.70 : 698,210.03 = 322,077.56 : x
  2. Step 2: Convert to fraction form
    505,897.70/698,210.03 = 322,077.56/x
  3. Step 3: Cross multiply
    505,897.70x = 698,210.03 × 322,077.56
  4. Step 4: Simplify right side
    505,897.70x = 224,877,777,728.49
  5. Step 5: Solve for x
    x = 224,877,777,728.49/505,897.70
  6. Step 6: Final answer
    x = 444,512.36

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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.