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Finding the Fourth Proportional to 289,577.67, 433,988.21 and 161,488.84

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Solution

The fourth proportional to 289,577.67, 433,988.21 and 161,488.84 is: 242,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,577.67 : 433,988.21 = 161,488.84 : x
  2. Step 2: Convert to fraction form
    289,577.67/433,988.21 = 161,488.84/x
  3. Step 3: Cross multiply
    289,577.67x = 433,988.21 × 161,488.84
  4. Step 4: Simplify right side
    289,577.67x = 70,084,252,341.62
  5. Step 5: Solve for x
    x = 70,084,252,341.62/289,577.67
  6. Step 6: Final answer
    x = 242,022.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.