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Finding the Fourth Proportional to 290,647.80, 435,971.70 and 202,001.40

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Solution

The fourth proportional to 290,647.80, 435,971.70 and 202,001.40 is: 303,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,647.80 : 435,971.70 = 202,001.40 : x
  2. Step 2: Convert to fraction form
    290,647.80/435,971.70 = 202,001.40/x
  3. Step 3: Cross multiply
    290,647.80x = 435,971.70 × 202,001.40
  4. Step 4: Simplify right side
    290,647.80x = 88,066,893,760.38
  5. Step 5: Solve for x
    x = 88,066,893,760.38/290,647.80
  6. Step 6: Final answer
    x = 303,002.10

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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.