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Finding the Fourth Proportional to 654,804.27, 903,753.90 and 409,903.02

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Solution

The fourth proportional to 654,804.27, 903,753.90 and 409,903.02 is: 565,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,804.27 : 903,753.90 = 409,903.02 : x
  2. Step 2: Convert to fraction form
    654,804.27/903,753.90 = 409,903.02/x
  3. Step 3: Cross multiply
    654,804.27x = 903,753.90 × 409,903.02
  4. Step 4: Simplify right side
    654,804.27x = 370,451,452,946.78
  5. Step 5: Solve for x
    x = 370,451,452,946.78/654,804.27
  6. Step 6: Final answer
    x = 565,743.80

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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.