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Finding the Fourth Proportional to 647,444.20, 893,476.74 and 360,982.12

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Solution

The fourth proportional to 647,444.20, 893,476.74 and 360,982.12 is: 498,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,444.20 : 893,476.74 = 360,982.12 : x
  2. Step 2: Convert to fraction form
    647,444.20/893,476.74 = 360,982.12/x
  3. Step 3: Cross multiply
    647,444.20x = 893,476.74 × 360,982.12
  4. Step 4: Simplify right side
    647,444.20x = 322,529,127,775.89
  5. Step 5: Solve for x
    x = 322,529,127,775.89/647,444.20
  6. Step 6: Final answer
    x = 498,157.41

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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.