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Finding the Fourth Proportional to 426,902.74, 640,561.71 and 201,995.25

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Solution

The fourth proportional to 426,902.74, 640,561.71 and 201,995.25 is: 303,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,902.74 : 640,561.71 = 201,995.25 : x
  2. Step 2: Convert to fraction form
    426,902.74/640,561.71 = 201,995.25/x
  3. Step 3: Cross multiply
    426,902.74x = 640,561.71 × 201,995.25
  4. Step 4: Simplify right side
    426,902.74x = 129,390,421,938.96
  5. Step 5: Solve for x
    x = 129,390,421,938.96/426,902.74
  6. Step 6: Final answer
    x = 303,091.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.