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Finding the Fourth Proportional to 713,300,270.40, 984,361,503.60 and 400,027,758.30

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Solution

The fourth proportional to 713,300,270.40, 984,361,503.60 and 400,027,758.30 is: 552,042,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,300,270.40 : 984,361,503.60 = 400,027,758.30 : x
  2. Step 2: Convert to fraction form
    713,300,270.40/984,361,503.60 = 400,027,758.30/x
  3. Step 3: Cross multiply
    713,300,270.40x = 984,361,503.60 × 400,027,758.30
  4. Step 4: Simplify right side
    713,300,270.40x = 393,771,925,641,925,376
  5. Step 5: Solve for x
    x = 393,771,925,641,925,376/713,300,270.40
  6. Step 6: Final answer
    x = 552,042,305.30

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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.