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Finding the Fourth Proportional to 978,164.20, 1,467,683.70 and 347,530.60

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Solution

The fourth proportional to 978,164.20, 1,467,683.70 and 347,530.60 is: 521,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,164.20 : 1,467,683.70 = 347,530.60 : x
  2. Step 2: Convert to fraction form
    978,164.20/1,467,683.70 = 347,530.60/x
  3. Step 3: Cross multiply
    978,164.20x = 1,467,683.70 × 347,530.60
  4. Step 4: Simplify right side
    978,164.20x = 510,064,996,871.22
  5. Step 5: Solve for x
    x = 510,064,996,871.22/978,164.20
  6. Step 6: Final answer
    x = 521,451.30

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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.