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Finding the Fourth Proportional to 384,691.90, 576,522.01 and 299,405.77

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Solution

The fourth proportional to 384,691.90, 576,522.01 and 299,405.77 is: 448,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,691.90 : 576,522.01 = 299,405.77 : x
  2. Step 2: Convert to fraction form
    384,691.90/576,522.01 = 299,405.77/x
  3. Step 3: Cross multiply
    384,691.90x = 576,522.01 × 299,405.77
  4. Step 4: Simplify right side
    384,691.90x = 172,614,016,326.00
  5. Step 5: Solve for x
    x = 172,614,016,326.00/384,691.90
  6. Step 6: Final answer
    x = 448,707.18

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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.