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Finding the Fourth Proportional to 561,766,319, 842,982,371.34 and 312,979,812.84

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Solution

The fourth proportional to 561,766,319, 842,982,371.34 and 312,979,812.84 is: 469,655,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,766,319 : 842,982,371.34 = 312,979,812.84 : x
  2. Step 2: Convert to fraction form
    561,766,319/842,982,371.34 = 312,979,812.84/x
  3. Step 3: Cross multiply
    561,766,319x = 842,982,371.34 × 312,979,812.84
  4. Step 4: Simplify right side
    561,766,319x = 263,836,464,809,412,576
  5. Step 5: Solve for x
    x = 263,836,464,809,412,576/561,766,319
  6. Step 6: Final answer
    x = 469,655,185.59

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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.