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Finding the Fourth Proportional to 418,271.16, 626,968.10 and 204,744.62

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Solution

The fourth proportional to 418,271.16, 626,968.10 and 204,744.62 is: 306,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,271.16 : 626,968.10 = 204,744.62 : x
  2. Step 2: Convert to fraction form
    418,271.16/626,968.10 = 204,744.62/x
  3. Step 3: Cross multiply
    418,271.16x = 626,968.10 × 204,744.62
  4. Step 4: Simplify right side
    418,271.16x = 128,368,345,386.62
  5. Step 5: Solve for x
    x = 128,368,345,386.62/418,271.16
  6. Step 6: Final answer
    x = 306,902.21

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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.