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Finding the Fourth Proportional to 206,694,564.30, 310,041,846.45 and 193,939,980.30

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Solution

The fourth proportional to 206,694,564.30, 310,041,846.45 and 193,939,980.30 is: 290,909,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,694,564.30 : 310,041,846.45 = 193,939,980.30 : x
  2. Step 2: Convert to fraction form
    206,694,564.30/310,041,846.45 = 193,939,980.30/x
  3. Step 3: Cross multiply
    206,694,564.30x = 310,041,846.45 × 193,939,980.30
  4. Step 4: Simplify right side
    206,694,564.30x = 60,129,509,592,688,624
  5. Step 5: Solve for x
    x = 60,129,509,592,688,624/206,694,564.30
  6. Step 6: Final answer
    x = 290,909,970.45

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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.