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Finding the Fourth Proportional to 354,596.16, 489,294.24 and 203,693.12

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Solution

The fourth proportional to 354,596.16, 489,294.24 and 203,693.12 is: 281,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,596.16 : 489,294.24 = 203,693.12 : x
  2. Step 2: Convert to fraction form
    354,596.16/489,294.24 = 203,693.12/x
  3. Step 3: Cross multiply
    354,596.16x = 489,294.24 × 203,693.12
  4. Step 4: Simplify right side
    354,596.16x = 99,665,870,343.63
  5. Step 5: Solve for x
    x = 99,665,870,343.63/354,596.16
  6. Step 6: Final answer
    x = 281,068.67

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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.