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Finding the Fourth Proportional to 288,087.60, 431,094.60 and 194,775.60

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Solution

The fourth proportional to 288,087.60, 431,094.60 and 194,775.60 is: 291,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,087.60 : 431,094.60 = 194,775.60 : x
  2. Step 2: Convert to fraction form
    288,087.60/431,094.60 = 194,775.60/x
  3. Step 3: Cross multiply
    288,087.60x = 431,094.60 × 194,775.60
  4. Step 4: Simplify right side
    288,087.60x = 83,966,709,371.76
  5. Step 5: Solve for x
    x = 83,966,709,371.76/288,087.60
  6. Step 6: Final answer
    x = 291,462.42

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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.