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Finding the Fourth Proportional to 303,888,946.80, 419,367,117.12 and 164,659,598.72

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Solution

The fourth proportional to 303,888,946.80, 419,367,117.12 and 164,659,598.72 is: 227,230,447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,888,946.80 : 419,367,117.12 = 164,659,598.72 : x
  2. Step 2: Convert to fraction form
    303,888,946.80/419,367,117.12 = 164,659,598.72/x
  3. Step 3: Cross multiply
    303,888,946.80x = 419,367,117.12 × 164,659,598.72
  4. Step 4: Simplify right side
    303,888,946.80x = 69,052,821,221,342,440
  5. Step 5: Solve for x
    x = 69,052,821,221,342,440/303,888,946.80
  6. Step 6: Final answer
    x = 227,230,447.01

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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.