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Finding the Fourth Proportional to 553,764.60, 830,403.90 and 254,145.60

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Solution

The fourth proportional to 553,764.60, 830,403.90 and 254,145.60 is: 381,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,764.60 : 830,403.90 = 254,145.60 : x
  2. Step 2: Convert to fraction form
    553,764.60/830,403.90 = 254,145.60/x
  3. Step 3: Cross multiply
    553,764.60x = 830,403.90 × 254,145.60
  4. Step 4: Simplify right side
    553,764.60x = 211,043,497,407.84
  5. Step 5: Solve for x
    x = 211,043,497,407.84/553,764.60
  6. Step 6: Final answer
    x = 381,106.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.