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Finding the Fourth Proportional to 923,970, 1,275,078.60 and 500,034

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Solution

The fourth proportional to 923,970, 1,275,078.60 and 500,034 is: 690,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,970 : 1,275,078.60 = 500,034 : x
  2. Step 2: Convert to fraction form
    923,970/1,275,078.60 = 500,034/x
  3. Step 3: Cross multiply
    923,970x = 1,275,078.60 × 500,034
  4. Step 4: Simplify right side
    923,970x = 637,582,652,672.40
  5. Step 5: Solve for x
    x = 637,582,652,672.40/923,970
  6. Step 6: Final answer
    x = 690,046.92

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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.