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Finding the Fourth Proportional to 306,457.37, 459,381.05 and 146,346.14

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Solution

The fourth proportional to 306,457.37, 459,381.05 and 146,346.14 is: 219,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,457.37 : 459,381.05 = 146,346.14 : x
  2. Step 2: Convert to fraction form
    306,457.37/459,381.05 = 146,346.14/x
  3. Step 3: Cross multiply
    306,457.37x = 459,381.05 × 146,346.14
  4. Step 4: Simplify right side
    306,457.37x = 67,228,645,245.36
  5. Step 5: Solve for x
    x = 67,228,645,245.36/306,457.37
  6. Step 6: Final answer
    x = 219,373.56

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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.