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Finding the Fourth Proportional to 409,708.94, 617,842.08 and 404,099.28

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Solution

The fourth proportional to 409,708.94, 617,842.08 and 404,099.28 is: 609,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,708.94 : 617,842.08 = 404,099.28 : x
  2. Step 2: Convert to fraction form
    409,708.94/617,842.08 = 404,099.28/x
  3. Step 3: Cross multiply
    409,708.94x = 617,842.08 × 404,099.28
  4. Step 4: Simplify right side
    409,708.94x = 249,669,539,681.70
  5. Step 5: Solve for x
    x = 249,669,539,681.70/409,708.94
  6. Step 6: Final answer
    x = 609,382.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.