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Finding the Fourth Proportional to 407,297.34, 611,392.95 and 323,595.54

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Solution

The fourth proportional to 407,297.34, 611,392.95 and 323,595.54 is: 485,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,297.34 : 611,392.95 = 323,595.54 : x
  2. Step 2: Convert to fraction form
    407,297.34/611,392.95 = 323,595.54/x
  3. Step 3: Cross multiply
    407,297.34x = 611,392.95 × 323,595.54
  4. Step 4: Simplify right side
    407,297.34x = 197,844,031,807.44
  5. Step 5: Solve for x
    x = 197,844,031,807.44/407,297.34
  6. Step 6: Final answer
    x = 485,748.40

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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.