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Finding the Fourth Proportional to 288,316.20, 432,474.30 and 188,783.40

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Solution

The fourth proportional to 288,316.20, 432,474.30 and 188,783.40 is: 283,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,316.20 : 432,474.30 = 188,783.40 : x
  2. Step 2: Convert to fraction form
    288,316.20/432,474.30 = 188,783.40/x
  3. Step 3: Cross multiply
    288,316.20x = 432,474.30 × 188,783.40
  4. Step 4: Simplify right side
    288,316.20x = 81,643,968,766.62
  5. Step 5: Solve for x
    x = 81,643,968,766.62/288,316.20
  6. Step 6: Final answer
    x = 283,175.10

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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.