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Finding the Fourth Proportional to 312,181.49, 468,285.30 and 98,944.74

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Solution

The fourth proportional to 312,181.49, 468,285.30 and 98,944.74 is: 148,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,181.49 : 468,285.30 = 98,944.74 : x
  2. Step 2: Convert to fraction form
    312,181.49/468,285.30 = 98,944.74/x
  3. Step 3: Cross multiply
    312,181.49x = 468,285.30 × 98,944.74
  4. Step 4: Simplify right side
    312,181.49x = 46,334,367,254.32
  5. Step 5: Solve for x
    x = 46,334,367,254.32/312,181.49
  6. Step 6: Final answer
    x = 148,421.25

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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.