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Finding the Fourth Proportional to 220,643,999.70, 330,965,999.55 and 144,116,495.70

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Solution

The fourth proportional to 220,643,999.70, 330,965,999.55 and 144,116,495.70 is: 216,174,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,643,999.70 : 330,965,999.55 = 144,116,495.70 : x
  2. Step 2: Convert to fraction form
    220,643,999.70/330,965,999.55 = 144,116,495.70/x
  3. Step 3: Cross multiply
    220,643,999.70x = 330,965,999.55 × 144,116,495.70
  4. Step 4: Simplify right side
    220,643,999.70x = 47,697,660,050,993,776
  5. Step 5: Solve for x
    x = 47,697,660,050,993,776/220,643,999.70
  6. Step 6: Final answer
    x = 216,174,743.55

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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.