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Finding the Fourth Proportional to 269,567,985.40, 404,351,978.10 and 97,071,422.20

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Solution

The fourth proportional to 269,567,985.40, 404,351,978.10 and 97,071,422.20 is: 145,607,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,567,985.40 : 404,351,978.10 = 97,071,422.20 : x
  2. Step 2: Convert to fraction form
    269,567,985.40/404,351,978.10 = 97,071,422.20/x
  3. Step 3: Cross multiply
    269,567,985.40x = 404,351,978.10 × 97,071,422.20
  4. Step 4: Simplify right side
    269,567,985.40x = 39,251,021,583,550,256
  5. Step 5: Solve for x
    x = 39,251,021,583,550,256/269,567,985.40
  6. Step 6: Final answer
    x = 145,607,133.30

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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.