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Finding the Fourth Proportional to 713,988,286.61, 985,303,830.91 and 400,722,500.59

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Solution

The fourth proportional to 713,988,286.61, 985,303,830.91 and 400,722,500.59 is: 552,997,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,988,286.61 : 985,303,830.91 = 400,722,500.59 : x
  2. Step 2: Convert to fraction form
    713,988,286.61/985,303,830.91 = 400,722,500.59/x
  3. Step 3: Cross multiply
    713,988,286.61x = 985,303,830.91 × 400,722,500.59
  4. Step 4: Simplify right side
    713,988,286.61x = 394,833,414,963,161,728
  5. Step 5: Solve for x
    x = 394,833,414,963,161,728/713,988,286.61
  6. Step 6: Final answer
    x = 552,997,048.23

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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.