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Finding the Fourth Proportional to 505,557.78, 697,985.28 and 321,900

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Solution

The fourth proportional to 505,557.78, 697,985.28 and 321,900 is: 444,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,557.78 : 697,985.28 = 321,900 : x
  2. Step 2: Convert to fraction form
    505,557.78/697,985.28 = 321,900/x
  3. Step 3: Cross multiply
    505,557.78x = 697,985.28 × 321,900
  4. Step 4: Simplify right side
    505,557.78x = 224,681,461,632
  5. Step 5: Solve for x
    x = 224,681,461,632/505,557.78
  6. Step 6: Final answer
    x = 444,422.91

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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.