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Finding the Fourth Proportional to 445,386, 666,405 and 312,525.48

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Solution

The fourth proportional to 445,386, 666,405 and 312,525.48 is: 467,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,386 : 666,405 = 312,525.48 : x
  2. Step 2: Convert to fraction form
    445,386/666,405 = 312,525.48/x
  3. Step 3: Cross multiply
    445,386x = 666,405 × 312,525.48
  4. Step 4: Simplify right side
    445,386x = 208,268,542,499.40
  5. Step 5: Solve for x
    x = 208,268,542,499.40/445,386
  6. Step 6: Final answer
    x = 467,613.58

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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.