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Finding the Fourth Proportional to 209,432.84, 289,013.29 and 116,295.39

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Solution

The fourth proportional to 209,432.84, 289,013.29 and 116,295.39 is: 160,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,432.84 : 289,013.29 = 116,295.39 : x
  2. Step 2: Convert to fraction form
    209,432.84/289,013.29 = 116,295.39/x
  3. Step 3: Cross multiply
    209,432.84x = 289,013.29 × 116,295.39
  4. Step 4: Simplify right side
    209,432.84x = 33,610,912,984.99
  5. Step 5: Solve for x
    x = 33,610,912,984.99/209,432.84
  6. Step 6: Final answer
    x = 160,485.40

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1.5x scale

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.