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Finding the Fourth Proportional to 289,913.54, 434,911.31 and 90,254.08

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Solution

The fourth proportional to 289,913.54, 434,911.31 and 90,254.08 is: 135,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,913.54 : 434,911.31 = 90,254.08 : x
  2. Step 2: Convert to fraction form
    289,913.54/434,911.31 = 90,254.08/x
  3. Step 3: Cross multiply
    289,913.54x = 434,911.31 × 90,254.08
  4. Step 4: Simplify right side
    289,913.54x = 39,252,520,165.64
  5. Step 5: Solve for x
    x = 39,252,520,165.64/289,913.54
  6. Step 6: Final answer
    x = 135,393.88

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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.