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Finding the Fourth Proportional to 289,599.12, 399,657.60 and 162,270

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Solution

The fourth proportional to 289,599.12, 399,657.60 and 162,270 is: 223,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,599.12 : 399,657.60 = 162,270 : x
  2. Step 2: Convert to fraction form
    289,599.12/399,657.60 = 162,270/x
  3. Step 3: Cross multiply
    289,599.12x = 399,657.60 × 162,270
  4. Step 4: Simplify right side
    289,599.12x = 64,852,438,752
  5. Step 5: Solve for x
    x = 64,852,438,752/289,599.12
  6. Step 6: Final answer
    x = 223,938.66

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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.