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Finding the Fourth Proportional to 307,092.40, 459,598.20 and 188,838.64

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Solution

The fourth proportional to 307,092.40, 459,598.20 and 188,838.64 is: 282,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,092.40 : 459,598.20 = 188,838.64 : x
  2. Step 2: Convert to fraction form
    307,092.40/459,598.20 = 188,838.64/x
  3. Step 3: Cross multiply
    307,092.40x = 459,598.20 × 188,838.64
  4. Step 4: Simplify right side
    307,092.40x = 86,789,899,034.45
  5. Step 5: Solve for x
    x = 86,789,899,034.45/307,092.40
  6. Step 6: Final answer
    x = 282,618.19

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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.