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Finding the Fourth Proportional to 708,963,426.09, 978,370,881.86 and 391,424,286.26

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Solution

The fourth proportional to 708,963,426.09, 978,370,881.86 and 391,424,286.26 is: 540,166,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,963,426.09 : 978,370,881.86 = 391,424,286.26 : x
  2. Step 2: Convert to fraction form
    708,963,426.09/978,370,881.86 = 391,424,286.26/x
  3. Step 3: Cross multiply
    708,963,426.09x = 978,370,881.86 × 391,424,286.26
  4. Step 4: Simplify right side
    708,963,426.09x = 382,958,124,133,041,728
  5. Step 5: Solve for x
    x = 382,958,124,133,041,728/708,963,426.09
  6. Step 6: Final answer
    x = 540,166,262.52

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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.