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Finding the Fourth Proportional to 306,529.40, 459,794.10 and 149,065.40

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Solution

The fourth proportional to 306,529.40, 459,794.10 and 149,065.40 is: 223,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,529.40 : 459,794.10 = 149,065.40 : x
  2. Step 2: Convert to fraction form
    306,529.40/459,794.10 = 149,065.40/x
  3. Step 3: Cross multiply
    306,529.40x = 459,794.10 × 149,065.40
  4. Step 4: Simplify right side
    306,529.40x = 68,539,391,434.14
  5. Step 5: Solve for x
    x = 68,539,391,434.14/306,529.40
  6. Step 6: Final answer
    x = 223,598.10

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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.