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Finding the Fourth Proportional to 445,382, 666,398.96 and 312,521.52

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Solution

The fourth proportional to 445,382, 666,398.96 and 312,521.52 is: 467,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,382 : 666,398.96 = 312,521.52 : x
  2. Step 2: Convert to fraction form
    445,382/666,398.96 = 312,521.52/x
  3. Step 3: Cross multiply
    445,382x = 666,398.96 × 312,521.52
  4. Step 4: Simplify right side
    445,382x = 208,264,015,905.62
  5. Step 5: Solve for x
    x = 208,264,015,905.62/445,382
  6. Step 6: Final answer
    x = 467,607.62

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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.