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Finding the Fourth Proportional to 978,003.64, 1,349,647.14 and 570,074.68

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Solution

The fourth proportional to 978,003.64, 1,349,647.14 and 570,074.68 is: 786,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,003.64 : 1,349,647.14 = 570,074.68 : x
  2. Step 2: Convert to fraction form
    978,003.64/1,349,647.14 = 570,074.68/x
  3. Step 3: Cross multiply
    978,003.64x = 1,349,647.14 × 570,074.68
  4. Step 4: Simplify right side
    978,003.64x = 769,399,661,448.42
  5. Step 5: Solve for x
    x = 769,399,661,448.42/978,003.64
  6. Step 6: Final answer
    x = 786,704.29

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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.