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Finding the Fourth Proportional to 459,891.10, 634,662.03 and 278,564.50

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Solution

The fourth proportional to 459,891.10, 634,662.03 and 278,564.50 is: 384,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,891.10 : 634,662.03 = 278,564.50 : x
  2. Step 2: Convert to fraction form
    459,891.10/634,662.03 = 278,564.50/x
  3. Step 3: Cross multiply
    459,891.10x = 634,662.03 × 278,564.50
  4. Step 4: Simplify right side
    459,891.10x = 176,794,311,055.94
  5. Step 5: Solve for x
    x = 176,794,311,055.94/459,891.10
  6. Step 6: Final answer
    x = 384,426.47

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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.