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Finding the Fourth Proportional to 978,586.80, 1,467,880.24 and 829,287.60

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Solution

The fourth proportional to 978,586.80, 1,467,880.24 and 829,287.60 is: 1,243,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,586.80 : 1,467,880.24 = 829,287.60 : x
  2. Step 2: Convert to fraction form
    978,586.80/1,467,880.24 = 829,287.60/x
  3. Step 3: Cross multiply
    978,586.80x = 1,467,880.24 × 829,287.60
  4. Step 4: Simplify right side
    978,586.80x = 1,217,294,881,317.02
  5. Step 5: Solve for x
    x = 1,217,294,881,317.02/978,586.80
  6. Step 6: Final answer
    x = 1,243,931.43

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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.