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Finding the Fourth Proportional to 405,964.30, 608,428.05 and 312,004.30

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Solution

The fourth proportional to 405,964.30, 608,428.05 and 312,004.30 is: 467,608.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,964.30 : 608,428.05 = 312,004.30 : x
  2. Step 2: Convert to fraction form
    405,964.30/608,428.05 = 312,004.30/x
  3. Step 3: Cross multiply
    405,964.30x = 608,428.05 × 312,004.30
  4. Step 4: Simplify right side
    405,964.30x = 189,832,167,840.62
  5. Step 5: Solve for x
    x = 189,832,167,840.62/405,964.30
  6. Step 6: Final answer
    x = 467,608.03

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1.5x scale

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.