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Finding the Fourth Proportional to 654,142.95, 902,687.63 and 382,235.67

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Solution

The fourth proportional to 654,142.95, 902,687.63 and 382,235.67 is: 527,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,142.95 : 902,687.63 = 382,235.67 : x
  2. Step 2: Convert to fraction form
    654,142.95/902,687.63 = 382,235.67/x
  3. Step 3: Cross multiply
    654,142.95x = 902,687.63 × 382,235.67
  4. Step 4: Simplify right side
    654,142.95x = 345,039,409,142.58
  5. Step 5: Solve for x
    x = 345,039,409,142.58/654,142.95
  6. Step 6: Final answer
    x = 527,467.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.