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Finding the Fourth Proportional to 702,063,112.80, 968,862,774.78 and 400,642,421.97

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Solution

The fourth proportional to 702,063,112.80, 968,862,774.78 and 400,642,421.97 is: 552,895,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,063,112.80 : 968,862,774.78 = 400,642,421.97 : x
  2. Step 2: Convert to fraction form
    702,063,112.80/968,862,774.78 = 400,642,421.97/x
  3. Step 3: Cross multiply
    702,063,112.80x = 968,862,774.78 × 400,642,421.97
  4. Step 4: Simplify right side
    702,063,112.80x = 388,167,528,644,433,856
  5. Step 5: Solve for x
    x = 388,167,528,644,433,856/702,063,112.80
  6. Step 6: Final answer
    x = 552,895,489.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.