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Finding the Fourth Proportional to 553,924.56, 764,438.16 and 312,217.20

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Solution

The fourth proportional to 553,924.56, 764,438.16 and 312,217.20 is: 430,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,924.56 : 764,438.16 = 312,217.20 : x
  2. Step 2: Convert to fraction form
    553,924.56/764,438.16 = 312,217.20/x
  3. Step 3: Cross multiply
    553,924.56x = 764,438.16 × 312,217.20
  4. Step 4: Simplify right side
    553,924.56x = 238,670,741,888.35
  5. Step 5: Solve for x
    x = 238,670,741,888.35/553,924.56
  6. Step 6: Final answer
    x = 430,872.29

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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.