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Finding the Fourth Proportional to 869,645, 1,304,452.10 and 357,199.20

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Solution

The fourth proportional to 869,645, 1,304,452.10 and 357,199.20 is: 535,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,645 : 1,304,452.10 = 357,199.20 : x
  2. Step 2: Convert to fraction form
    869,645/1,304,452.10 = 357,199.20/x
  3. Step 3: Cross multiply
    869,645x = 1,304,452.10 × 357,199.20
  4. Step 4: Simplify right side
    869,645x = 465,949,246,558.32
  5. Step 5: Solve for x
    x = 465,949,246,558.32/869,645
  6. Step 6: Final answer
    x = 535,792.47

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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.