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Finding the Fourth Proportional to 612,137.60, 844,508 and 353,967.04

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Solution

The fourth proportional to 612,137.60, 844,508 and 353,967.04 is: 488,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,137.60 : 844,508 = 353,967.04 : x
  2. Step 2: Convert to fraction form
    612,137.60/844,508 = 353,967.04/x
  3. Step 3: Cross multiply
    612,137.60x = 844,508 × 353,967.04
  4. Step 4: Simplify right side
    612,137.60x = 298,927,997,016.32
  5. Step 5: Solve for x
    x = 298,927,997,016.32/612,137.60
  6. Step 6: Final answer
    x = 488,334.64

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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.