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Finding the Fourth Proportional to 389,712,661.80, 584,568,992.70 and 117,047,999.40

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Solution

The fourth proportional to 389,712,661.80, 584,568,992.70 and 117,047,999.40 is: 175,571,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,712,661.80 : 584,568,992.70 = 117,047,999.40 : x
  2. Step 2: Convert to fraction form
    389,712,661.80/584,568,992.70 = 117,047,999.40/x
  3. Step 3: Cross multiply
    389,712,661.80x = 584,568,992.70 × 117,047,999.40
  4. Step 4: Simplify right side
    389,712,661.80x = 68,422,631,106,808,216
  5. Step 5: Solve for x
    x = 68,422,631,106,808,216/389,712,661.80
  6. Step 6: Final answer
    x = 175,571,999.10

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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.