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Finding the Fourth Proportional to 298,988,809.80, 417,563,967 and 298,988,809.80

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Solution

The fourth proportional to 298,988,809.80, 417,563,967 and 298,988,809.80 is: 417,563,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,988,809.80 : 417,563,967 = 298,988,809.80 : x
  2. Step 2: Convert to fraction form
    298,988,809.80/417,563,967 = 298,988,809.80/x
  3. Step 3: Cross multiply
    298,988,809.80x = 417,563,967 × 298,988,809.80
  4. Step 4: Simplify right side
    298,988,809.80x = 124,846,953,508,696,480
  5. Step 5: Solve for x
    x = 124,846,953,508,696,480/298,988,809.80
  6. Step 6: Final answer
    x = 417,563,967

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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.