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Finding the Fourth Proportional to 289,020.90, 433,531.35 and 266,211.30

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Solution

The fourth proportional to 289,020.90, 433,531.35 and 266,211.30 is: 399,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,020.90 : 433,531.35 = 266,211.30 : x
  2. Step 2: Convert to fraction form
    289,020.90/433,531.35 = 266,211.30/x
  3. Step 3: Cross multiply
    289,020.90x = 433,531.35 × 266,211.30
  4. Step 4: Simplify right side
    289,020.90x = 115,410,944,274.26
  5. Step 5: Solve for x
    x = 115,410,944,274.26/289,020.90
  6. Step 6: Final answer
    x = 399,316.95

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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.