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Finding the Fourth Proportional to 306,870.40, 459,009.60 and 275,507.20

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Solution

The fourth proportional to 306,870.40, 459,009.60 and 275,507.20 is: 412,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,870.40 : 459,009.60 = 275,507.20 : x
  2. Step 2: Convert to fraction form
    306,870.40/459,009.60 = 275,507.20/x
  3. Step 3: Cross multiply
    306,870.40x = 459,009.60 × 275,507.20
  4. Step 4: Simplify right side
    306,870.40x = 126,460,449,669.12
  5. Step 5: Solve for x
    x = 126,460,449,669.12/306,870.40
  6. Step 6: Final answer
    x = 412,097.26

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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.