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Finding the Fourth Proportional to 285,916,867.80, 428,875,301.70 and 285,916,867.80

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Solution

The fourth proportional to 285,916,867.80, 428,875,301.70 and 285,916,867.80 is: 428,875,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,916,867.80 : 428,875,301.70 = 285,916,867.80 : x
  2. Step 2: Convert to fraction form
    285,916,867.80/428,875,301.70 = 285,916,867.80/x
  3. Step 3: Cross multiply
    285,916,867.80x = 428,875,301.70 × 285,916,867.80
  4. Step 4: Simplify right side
    285,916,867.80x = 122,622,682,938,844,016
  5. Step 5: Solve for x
    x = 122,622,682,938,844,016/285,916,867.80
  6. Step 6: Final answer
    x = 428,875,301.70

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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.