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Finding the Fourth Proportional to 553,653.56, 764,013.65 and 311,950.41

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Solution

The fourth proportional to 553,653.56, 764,013.65 and 311,950.41 is: 430,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,653.56 : 764,013.65 = 311,950.41 : x
  2. Step 2: Convert to fraction form
    553,653.56/764,013.65 = 311,950.41/x
  3. Step 3: Cross multiply
    553,653.56x = 764,013.65 × 311,950.41
  4. Step 4: Simplify right side
    553,653.56x = 238,334,369,803.34
  5. Step 5: Solve for x
    x = 238,334,369,803.34/553,653.56
  6. Step 6: Final answer
    x = 430,475.64

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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.