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Finding the Fourth Proportional to 306,809.40, 459,782.10 and 243,737.40

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Solution

The fourth proportional to 306,809.40, 459,782.10 and 243,737.40 is: 365,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,809.40 : 459,782.10 = 243,737.40 : x
  2. Step 2: Convert to fraction form
    306,809.40/459,782.10 = 243,737.40/x
  3. Step 3: Cross multiply
    306,809.40x = 459,782.10 × 243,737.40
  4. Step 4: Simplify right side
    306,809.40x = 112,066,093,620.54
  5. Step 5: Solve for x
    x = 112,066,093,620.54/306,809.40
  6. Step 6: Final answer
    x = 365,262.91

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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.