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Finding the Fourth Proportional to 298,988,811.80, 417,563,969.80 and 298,988,811.80

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Solution

The fourth proportional to 298,988,811.80, 417,563,969.80 and 298,988,811.80 is: 417,563,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,988,811.80 : 417,563,969.80 = 298,988,811.80 : x
  2. Step 2: Convert to fraction form
    298,988,811.80/417,563,969.80 = 298,988,811.80/x
  3. Step 3: Cross multiply
    298,988,811.80x = 417,563,969.80 × 298,988,811.80
  4. Step 4: Simplify right side
    298,988,811.80x = 124,846,955,180,993,088
  5. Step 5: Solve for x
    x = 124,846,955,180,993,088/298,988,811.80
  6. Step 6: Final answer
    x = 417,563,969.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.