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Finding the Fourth Proportional to 357,728.70, 493,642.32 and 204,768.12

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Solution

The fourth proportional to 357,728.70, 493,642.32 and 204,768.12 is: 282,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,728.70 : 493,642.32 = 204,768.12 : x
  2. Step 2: Convert to fraction form
    357,728.70/493,642.32 = 204,768.12/x
  3. Step 3: Cross multiply
    357,728.70x = 493,642.32 × 204,768.12
  4. Step 4: Simplify right side
    357,728.70x = 101,082,209,818.84
  5. Step 5: Solve for x
    x = 101,082,209,818.84/357,728.70
  6. Step 6: Final answer
    x = 282,566.68

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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.