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Finding the Fourth Proportional to 470,940.70, 706,411.05 and 155,356.60

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Solution

The fourth proportional to 470,940.70, 706,411.05 and 155,356.60 is: 233,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,940.70 : 706,411.05 = 155,356.60 : x
  2. Step 2: Convert to fraction form
    470,940.70/706,411.05 = 155,356.60/x
  3. Step 3: Cross multiply
    470,940.70x = 706,411.05 × 155,356.60
  4. Step 4: Simplify right side
    470,940.70x = 109,745,618,930.43
  5. Step 5: Solve for x
    x = 109,745,618,930.43/470,940.70
  6. Step 6: Final answer
    x = 233,034.90

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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.