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Finding the Fourth Proportional to 265,724,310.30, 398,586,465.45 and 149,019,866.70

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Solution

The fourth proportional to 265,724,310.30, 398,586,465.45 and 149,019,866.70 is: 223,529,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,724,310.30 : 398,586,465.45 = 149,019,866.70 : x
  2. Step 2: Convert to fraction form
    265,724,310.30/398,586,465.45 = 149,019,866.70/x
  3. Step 3: Cross multiply
    265,724,310.30x = 398,586,465.45 × 149,019,866.70
  4. Step 4: Simplify right side
    265,724,310.30x = 59,397,301,949,783,152
  5. Step 5: Solve for x
    x = 59,397,301,949,783,152/265,724,310.30
  6. Step 6: Final answer
    x = 223,529,800.05

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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.