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Finding the Fourth Proportional to 567,345.42, 782,940.28 and 312,696.60

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Solution

The fourth proportional to 567,345.42, 782,940.28 and 312,696.60 is: 431,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,345.42 : 782,940.28 = 312,696.60 : x
  2. Step 2: Convert to fraction form
    567,345.42/782,940.28 = 312,696.60/x
  3. Step 3: Cross multiply
    567,345.42x = 782,940.28 × 312,696.60
  4. Step 4: Simplify right side
    567,345.42x = 244,822,763,559.05
  5. Step 5: Solve for x
    x = 244,822,763,559.05/567,345.42
  6. Step 6: Final answer
    x = 431,523.29

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1.5x scale

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.