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Finding the Fourth Proportional to 289,014.90, 433,522.35 and 266,205.30

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Solution

The fourth proportional to 289,014.90, 433,522.35 and 266,205.30 is: 399,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,014.90 : 433,522.35 = 266,205.30 : x
  2. Step 2: Convert to fraction form
    289,014.90/433,522.35 = 266,205.30/x
  3. Step 3: Cross multiply
    289,014.90x = 433,522.35 × 266,205.30
  4. Step 4: Simplify right side
    289,014.90x = 115,405,947,238.46
  5. Step 5: Solve for x
    x = 115,405,947,238.46/289,014.90
  6. Step 6: Final answer
    x = 399,307.95

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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.