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Finding the Fourth Proportional to 505,559.78, 697,988.04 and 321,902

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Solution

The fourth proportional to 505,559.78, 697,988.04 and 321,902 is: 444,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,559.78 : 697,988.04 = 321,902 : x
  2. Step 2: Convert to fraction form
    505,559.78/697,988.04 = 321,902/x
  3. Step 3: Cross multiply
    505,559.78x = 697,988.04 × 321,902
  4. Step 4: Simplify right side
    505,559.78x = 224,683,746,052.08
  5. Step 5: Solve for x
    x = 224,683,746,052.08/505,559.78
  6. Step 6: Final answer
    x = 444,425.67

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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.