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Finding the Fourth Proportional to 1,788,410.14, 2,467,982.74 and 972,596.32

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Solution

The fourth proportional to 1,788,410.14, 2,467,982.74 and 972,596.32 is: 1,342,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788,410.14 : 2,467,982.74 = 972,596.32 : x
  2. Step 2: Convert to fraction form
    1,788,410.14/2,467,982.74 = 972,596.32/x
  3. Step 3: Cross multiply
    1,788,410.14x = 2,467,982.74 × 972,596.32
  4. Step 4: Simplify right side
    1,788,410.14x = 2,400,350,927,756.47
  5. Step 5: Solve for x
    x = 2,400,350,927,756.47/1,788,410.14
  6. Step 6: Final answer
    x = 1,342,170.28

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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.