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Finding the Fourth Proportional to 652,375,278.40, 978,562,917.60 and 221,553,774.40

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Solution

The fourth proportional to 652,375,278.40, 978,562,917.60 and 221,553,774.40 is: 332,330,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,375,278.40 : 978,562,917.60 = 221,553,774.40 : x
  2. Step 2: Convert to fraction form
    652,375,278.40/978,562,917.60 = 221,553,774.40/x
  3. Step 3: Cross multiply
    652,375,278.40x = 978,562,917.60 × 221,553,774.40
  4. Step 4: Simplify right side
    652,375,278.40x = 216,804,307,882,156,192
  5. Step 5: Solve for x
    x = 216,804,307,882,156,192/652,375,278.40
  6. Step 6: Final answer
    x = 332,330,661.60

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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.