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Finding the Fourth Proportional to 287,643.60, 431,076.60 and 254,206.80

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Solution

The fourth proportional to 287,643.60, 431,076.60 and 254,206.80 is: 380,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,643.60 : 431,076.60 = 254,206.80 : x
  2. Step 2: Convert to fraction form
    287,643.60/431,076.60 = 254,206.80/x
  3. Step 3: Cross multiply
    287,643.60x = 431,076.60 × 254,206.80
  4. Step 4: Simplify right side
    287,643.60x = 109,582,603,040.88
  5. Step 5: Solve for x
    x = 109,582,603,040.88/287,643.60
  6. Step 6: Final answer
    x = 380,966.60

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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.