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Finding the Fourth Proportional to 289,017.90, 433,602.45 and 111,530.70

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Solution

The fourth proportional to 289,017.90, 433,602.45 and 111,530.70 is: 167,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,017.90 : 433,602.45 = 111,530.70 : x
  2. Step 2: Convert to fraction form
    289,017.90/433,602.45 = 111,530.70/x
  3. Step 3: Cross multiply
    289,017.90x = 433,602.45 × 111,530.70
  4. Step 4: Simplify right side
    289,017.90x = 48,359,984,770.22
  5. Step 5: Solve for x
    x = 48,359,984,770.22/289,017.90
  6. Step 6: Final answer
    x = 167,325.22

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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.