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Finding the Fourth Proportional to 536,490, 740,375.64 and 307,089.36

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Solution

The fourth proportional to 536,490, 740,375.64 and 307,089.36 is: 423,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,490 : 740,375.64 = 307,089.36 : x
  2. Step 2: Convert to fraction form
    536,490/740,375.64 = 307,089.36/x
  3. Step 3: Cross multiply
    536,490x = 740,375.64 × 307,089.36
  4. Step 4: Simplify right side
    536,490x = 227,361,481,447.19
  5. Step 5: Solve for x
    x = 227,361,481,447.19/536,490
  6. Step 6: Final answer
    x = 423,794.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.