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Finding the Fourth Proportional to 358,674.49, 538,082.68 and 102,509.36

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Solution

The fourth proportional to 358,674.49, 538,082.68 and 102,509.36 is: 153,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,674.49 : 538,082.68 = 102,509.36 : x
  2. Step 2: Convert to fraction form
    358,674.49/538,082.68 = 102,509.36/x
  3. Step 3: Cross multiply
    358,674.49x = 538,082.68 × 102,509.36
  4. Step 4: Simplify right side
    358,674.49x = 55,158,511,153.88
  5. Step 5: Solve for x
    x = 55,158,511,153.88/358,674.49
  6. Step 6: Final answer
    x = 153,784.32

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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.