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Finding the Fourth Proportional to 286,507,608.30, 429,761,412.45 and 286,507,608.30

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Solution

The fourth proportional to 286,507,608.30, 429,761,412.45 and 286,507,608.30 is: 429,761,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,507,608.30 : 429,761,412.45 = 286,507,608.30 : x
  2. Step 2: Convert to fraction form
    286,507,608.30/429,761,412.45 = 286,507,608.30/x
  3. Step 3: Cross multiply
    286,507,608.30x = 429,761,412.45 × 286,507,608.30
  4. Step 4: Simplify right side
    286,507,608.30x = 123,129,914,420,679,344
  5. Step 5: Solve for x
    x = 123,129,914,420,679,344/286,507,608.30
  6. Step 6: Final answer
    x = 429,761,412.45

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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.