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Finding the Fourth Proportional to 289,808.89, 399,916.23 and 160,735.19

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Solution

The fourth proportional to 289,808.89, 399,916.23 and 160,735.19 is: 221,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,808.89 : 399,916.23 = 160,735.19 : x
  2. Step 2: Convert to fraction form
    289,808.89/399,916.23 = 160,735.19/x
  3. Step 3: Cross multiply
    289,808.89x = 399,916.23 × 160,735.19
  4. Step 4: Simplify right side
    289,808.89x = 64,280,609,615.39
  5. Step 5: Solve for x
    x = 64,280,609,615.39/289,808.89
  6. Step 6: Final answer
    x = 221,803.44

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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.