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Finding the Fourth Proportional to 242,647.80, 363,971.70 and 200,657.40

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Solution

The fourth proportional to 242,647.80, 363,971.70 and 200,657.40 is: 300,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,647.80 : 363,971.70 = 200,657.40 : x
  2. Step 2: Convert to fraction form
    242,647.80/363,971.70 = 200,657.40/x
  3. Step 3: Cross multiply
    242,647.80x = 363,971.70 × 200,657.40
  4. Step 4: Simplify right side
    242,647.80x = 73,033,614,995.58
  5. Step 5: Solve for x
    x = 73,033,614,995.58/242,647.80
  6. Step 6: Final answer
    x = 300,986.10

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1.5x scale

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.