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Finding the Fourth Proportional to 779,196, 1,167,908.16 and 329,636.64

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Solution

The fourth proportional to 779,196, 1,167,908.16 and 329,636.64 is: 494,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,196 : 1,167,908.16 = 329,636.64 : x
  2. Step 2: Convert to fraction form
    779,196/1,167,908.16 = 329,636.64/x
  3. Step 3: Cross multiply
    779,196x = 1,167,908.16 × 329,636.64
  4. Step 4: Simplify right side
    779,196x = 384,985,321,690.98
  5. Step 5: Solve for x
    x = 384,985,321,690.98/779,196
  6. Step 6: Final answer
    x = 494,080.21

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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.