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Finding the Fourth Proportional to 428,954.16, 592,668.72 and 339,000

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Solution

The fourth proportional to 428,954.16, 592,668.72 and 339,000 is: 468,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,954.16 : 592,668.72 = 339,000 : x
  2. Step 2: Convert to fraction form
    428,954.16/592,668.72 = 339,000/x
  3. Step 3: Cross multiply
    428,954.16x = 592,668.72 × 339,000
  4. Step 4: Simplify right side
    428,954.16x = 200,914,696,080
  5. Step 5: Solve for x
    x = 200,914,696,080/428,954.16
  6. Step 6: Final answer
    x = 468,382.67

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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.