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Finding the Fourth Proportional to 713,577,804.78, 984,744,086.28 and 400,318,742.76

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Solution

The fourth proportional to 713,577,804.78, 984,744,086.28 and 400,318,742.76 is: 552,443,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,577,804.78 : 984,744,086.28 = 400,318,742.76 : x
  2. Step 2: Convert to fraction form
    713,577,804.78/984,744,086.28 = 400,318,742.76/x
  3. Step 3: Cross multiply
    713,577,804.78x = 984,744,086.28 × 400,318,742.76
  4. Step 4: Simplify right side
    713,577,804.78x = 394,211,514,559,954,560
  5. Step 5: Solve for x
    x = 394,211,514,559,954,560/713,577,804.78
  6. Step 6: Final answer
    x = 552,443,632.52

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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.