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Finding the Fourth Proportional to 286,206,525.90, 401,596,128.90 and 286,206,525.90

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Solution

The fourth proportional to 286,206,525.90, 401,596,128.90 and 286,206,525.90 is: 401,596,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,206,525.90 : 401,596,128.90 = 286,206,525.90 : x
  2. Step 2: Convert to fraction form
    286,206,525.90/401,596,128.90 = 286,206,525.90/x
  3. Step 3: Cross multiply
    286,206,525.90x = 401,596,128.90 × 286,206,525.90
  4. Step 4: Simplify right side
    286,206,525.90x = 114,939,432,867,357,568
  5. Step 5: Solve for x
    x = 114,939,432,867,357,568/286,206,525.90
  6. Step 6: Final answer
    x = 401,596,128.90

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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.