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Finding the Fourth Proportional to 431,164.58, 647,319.14 and 368,388.12

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Solution

The fourth proportional to 431,164.58, 647,319.14 and 368,388.12 is: 553,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,164.58 : 647,319.14 = 368,388.12 : x
  2. Step 2: Convert to fraction form
    431,164.58/647,319.14 = 368,388.12/x
  3. Step 3: Cross multiply
    431,164.58x = 647,319.14 × 368,388.12
  4. Step 4: Simplify right side
    431,164.58x = 238,464,681,024.62
  5. Step 5: Solve for x
    x = 238,464,681,024.62/431,164.58
  6. Step 6: Final answer
    x = 553,071.13

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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.