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Finding the Fourth Proportional to 713,988,285.61, 985,303,829.53 and 400,722,499.59

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Solution

The fourth proportional to 713,988,285.61, 985,303,829.53 and 400,722,499.59 is: 552,997,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,988,285.61 : 985,303,829.53 = 400,722,499.59 : x
  2. Step 2: Convert to fraction form
    713,988,285.61/985,303,829.53 = 400,722,499.59/x
  3. Step 3: Cross multiply
    713,988,285.61x = 985,303,829.53 × 400,722,499.59
  4. Step 4: Simplify right side
    713,988,285.61x = 394,833,413,419,410,816
  5. Step 5: Solve for x
    x = 394,833,413,419,410,816/713,988,285.61
  6. Step 6: Final answer
    x = 552,997,046.84

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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.