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Finding the Fourth Proportional to 289,941.64, 434,953.02 and 90,276.52

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Solution

The fourth proportional to 289,941.64, 434,953.02 and 90,276.52 is: 135,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,941.64 : 434,953.02 = 90,276.52 : x
  2. Step 2: Convert to fraction form
    289,941.64/434,953.02 = 90,276.52/x
  3. Step 3: Cross multiply
    289,941.64x = 434,953.02 × 90,276.52
  4. Step 4: Simplify right side
    289,941.64x = 39,266,045,009.09
  5. Step 5: Solve for x
    x = 39,266,045,009.09/289,941.64
  6. Step 6: Final answer
    x = 135,427.41

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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.