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Finding the Fourth Proportional to 290,485.80, 435,728.70 and 80,123.40

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Solution

The fourth proportional to 290,485.80, 435,728.70 and 80,123.40 is: 120,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,485.80 : 435,728.70 = 80,123.40 : x
  2. Step 2: Convert to fraction form
    290,485.80/435,728.70 = 80,123.40/x
  3. Step 3: Cross multiply
    290,485.80x = 435,728.70 × 80,123.40
  4. Step 4: Simplify right side
    290,485.80x = 34,912,064,921.58
  5. Step 5: Solve for x
    x = 34,912,064,921.58/290,485.80
  6. Step 6: Final answer
    x = 120,185.10

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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.