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Finding the Fourth Proportional to 279,950,410.90, 419,988,601.95 and 164,875,719.70

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Solution

The fourth proportional to 279,950,410.90, 419,988,601.95 and 164,875,719.70 is: 247,350,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,950,410.90 : 419,988,601.95 = 164,875,719.70 : x
  2. Step 2: Convert to fraction form
    279,950,410.90/419,988,601.95 = 164,875,719.70/x
  3. Step 3: Cross multiply
    279,950,410.90x = 419,988,601.95 × 164,875,719.70
  4. Step 4: Simplify right side
    279,950,410.90x = 69,245,923,012,303,064
  5. Step 5: Solve for x
    x = 69,245,923,012,303,064/279,950,410.90
  6. Step 6: Final answer
    x = 247,350,674.68

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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.