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Finding the Fourth Proportional to 713,557,782.63, 984,697,657.94 and 400,285,270.55

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Solution

The fourth proportional to 713,557,782.63, 984,697,657.94 and 400,285,270.55 is: 552,386,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,557,782.63 : 984,697,657.94 = 400,285,270.55 : x
  2. Step 2: Convert to fraction form
    713,557,782.63/984,697,657.94 = 400,285,270.55/x
  3. Step 3: Cross multiply
    713,557,782.63x = 984,697,657.94 × 400,285,270.55
  4. Step 4: Simplify right side
    713,557,782.63x = 394,159,968,421,926,720
  5. Step 5: Solve for x
    x = 394,159,968,421,926,720/713,557,782.63
  6. Step 6: Final answer
    x = 552,386,895.66

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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.