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Finding the Fourth Proportional to 306,389.89, 459,584.14 and 145,978.90

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Solution

The fourth proportional to 306,389.89, 459,584.14 and 145,978.90 is: 218,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,389.89 : 459,584.14 = 145,978.90 : x
  2. Step 2: Convert to fraction form
    306,389.89/459,584.14 = 145,978.90/x
  3. Step 3: Cross multiply
    306,389.89x = 459,584.14 × 145,978.90
  4. Step 4: Simplify right side
    306,389.89x = 67,089,587,214.65
  5. Step 5: Solve for x
    x = 67,089,587,214.65/306,389.89
  6. Step 6: Final answer
    x = 218,968.02

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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.