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Finding the Fourth Proportional to 547,392,336.87, 821,020,028.40 and 178,896,461.88

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Solution

The fourth proportional to 547,392,336.87, 821,020,028.40 and 178,896,461.88 is: 268,322,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,392,336.87 : 821,020,028.40 = 178,896,461.88 : x
  2. Step 2: Convert to fraction form
    547,392,336.87/821,020,028.40 = 178,896,461.88/x
  3. Step 3: Cross multiply
    547,392,336.87x = 821,020,028.40 × 178,896,461.88
  4. Step 4: Simplify right side
    547,392,336.87x = 146,877,578,213,377,120
  5. Step 5: Solve for x
    x = 146,877,578,213,377,120/547,392,336.87
  6. Step 6: Final answer
    x = 268,322,313.49

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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.