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Finding the Fourth Proportional to 428,093.19, 642,088.67 and 112,574.67

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Solution

The fourth proportional to 428,093.19, 642,088.67 and 112,574.67 is: 168,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,093.19 : 642,088.67 = 112,574.67 : x
  2. Step 2: Convert to fraction form
    428,093.19/642,088.67 = 112,574.67/x
  3. Step 3: Cross multiply
    428,093.19x = 642,088.67 × 112,574.67
  4. Step 4: Simplify right side
    428,093.19x = 72,282,919,573.12
  5. Step 5: Solve for x
    x = 72,282,919,573.12/428,093.19
  6. Step 6: Final answer
    x = 168,848.56

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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.