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Finding the Fourth Proportional to 289,379.54, 399,334.46 and 160,312.70

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Solution

The fourth proportional to 289,379.54, 399,334.46 and 160,312.70 is: 221,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,379.54 : 399,334.46 = 160,312.70 : x
  2. Step 2: Convert to fraction form
    289,379.54/399,334.46 = 160,312.70/x
  3. Step 3: Cross multiply
    289,379.54x = 399,334.46 × 160,312.70
  4. Step 4: Simplify right side
    289,379.54x = 64,018,385,485.64
  5. Step 5: Solve for x
    x = 64,018,385,485.64/289,379.54
  6. Step 6: Final answer
    x = 221,226.37

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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.