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Finding the Fourth Proportional to 205,065.40, 307,598.10 and 200,918.20

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Solution

The fourth proportional to 205,065.40, 307,598.10 and 200,918.20 is: 301,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,065.40 : 307,598.10 = 200,918.20 : x
  2. Step 2: Convert to fraction form
    205,065.40/307,598.10 = 200,918.20/x
  3. Step 3: Cross multiply
    205,065.40x = 307,598.10 × 200,918.20
  4. Step 4: Simplify right side
    205,065.40x = 61,802,056,575.42
  5. Step 5: Solve for x
    x = 61,802,056,575.42/205,065.40
  6. Step 6: Final answer
    x = 301,377.30

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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.