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Finding the Fourth Proportional to 312,190.98, 430,464.42 and 230,637.24

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Solution

The fourth proportional to 312,190.98, 430,464.42 and 230,637.24 is: 318,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,190.98 : 430,464.42 = 230,637.24 : x
  2. Step 2: Convert to fraction form
    312,190.98/430,464.42 = 230,637.24/x
  3. Step 3: Cross multiply
    312,190.98x = 430,464.42 × 230,637.24
  4. Step 4: Simplify right side
    312,190.98x = 99,281,125,747.00
  5. Step 5: Solve for x
    x = 99,281,125,747.00/312,190.98
  6. Step 6: Final answer
    x = 318,014.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.