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Finding the Fourth Proportional to 289,099.98, 398,938.68 and 160,029.72

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Solution

The fourth proportional to 289,099.98, 398,938.68 and 160,029.72 is: 220,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,099.98 : 398,938.68 = 160,029.72 : x
  2. Step 2: Convert to fraction form
    289,099.98/398,938.68 = 160,029.72/x
  3. Step 3: Cross multiply
    289,099.98x = 398,938.68 × 160,029.72
  4. Step 4: Simplify right side
    289,099.98x = 63,842,045,257.57
  5. Step 5: Solve for x
    x = 63,842,045,257.57/289,099.98
  6. Step 6: Final answer
    x = 220,830.33

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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.