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Finding the Fourth Proportional to 445,399, 666,424.50 and 312,538.48

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Solution

The fourth proportional to 445,399, 666,424.50 and 312,538.48 is: 467,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,399 : 666,424.50 = 312,538.48 : x
  2. Step 2: Convert to fraction form
    445,399/666,424.50 = 312,538.48/x
  3. Step 3: Cross multiply
    445,399x = 666,424.50 × 312,538.48
  4. Step 4: Simplify right side
    445,399x = 208,283,300,264.76
  5. Step 5: Solve for x
    x = 208,283,300,264.76/445,399
  6. Step 6: Final answer
    x = 467,633.07

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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.