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Finding the Fourth Proportional to 223,280.46, 308,050.83 and 138,366.54

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Solution

The fourth proportional to 223,280.46, 308,050.83 and 138,366.54 is: 190,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,280.46 : 308,050.83 = 138,366.54 : x
  2. Step 2: Convert to fraction form
    223,280.46/308,050.83 = 138,366.54/x
  3. Step 3: Cross multiply
    223,280.46x = 308,050.83 × 138,366.54
  4. Step 4: Simplify right side
    223,280.46x = 42,623,927,491.23
  5. Step 5: Solve for x
    x = 42,623,927,491.23/223,280.46
  6. Step 6: Final answer
    x = 190,898.60

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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.