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Finding the Fourth Proportional to 289,381.57, 399,363.16 and 162,056.05

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Solution

The fourth proportional to 289,381.57, 399,363.16 and 162,056.05 is: 223,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,381.57 : 399,363.16 = 162,056.05 : x
  2. Step 2: Convert to fraction form
    289,381.57/399,363.16 = 162,056.05/x
  3. Step 3: Cross multiply
    289,381.57x = 399,363.16 × 162,056.05
  4. Step 4: Simplify right side
    289,381.57x = 64,719,216,225.12
  5. Step 5: Solve for x
    x = 64,719,216,225.12/289,381.57
  6. Step 6: Final answer
    x = 223,646.64

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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.