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Finding the Fourth Proportional to 362,085.42, 499,562.29 and 209,103.40

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Solution

The fourth proportional to 362,085.42, 499,562.29 and 209,103.40 is: 288,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,085.42 : 499,562.29 = 209,103.40 : x
  2. Step 2: Convert to fraction form
    362,085.42/499,562.29 = 209,103.40/x
  3. Step 3: Cross multiply
    362,085.42x = 499,562.29 × 209,103.40
  4. Step 4: Simplify right side
    362,085.42x = 104,460,171,655.39
  5. Step 5: Solve for x
    x = 104,460,171,655.39/362,085.42
  6. Step 6: Final answer
    x = 288,495.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.