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Finding the Fourth Proportional to 411,937.60, 618,079.20 and 307,661.44

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Solution

The fourth proportional to 411,937.60, 618,079.20 and 307,661.44 is: 461,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,937.60 : 618,079.20 = 307,661.44 : x
  2. Step 2: Convert to fraction form
    411,937.60/618,079.20 = 307,661.44/x
  3. Step 3: Cross multiply
    411,937.60x = 618,079.20 × 307,661.44
  4. Step 4: Simplify right side
    411,937.60x = 190,159,136,706.05
  5. Step 5: Solve for x
    x = 190,159,136,706.05/411,937.60
  6. Step 6: Final answer
    x = 461,621.22

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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.