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Finding the Fourth Proportional to 399,364,320, 599,046,480 and 96,784,608

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Solution

The fourth proportional to 399,364,320, 599,046,480 and 96,784,608 is: 145,176,912

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,364,320 : 599,046,480 = 96,784,608 : x
  2. Step 2: Convert to fraction form
    399,364,320/599,046,480 = 96,784,608/x
  3. Step 3: Cross multiply
    399,364,320x = 599,046,480 × 96,784,608
  4. Step 4: Simplify right side
    399,364,320x = 57,978,478,740,579,840
  5. Step 5: Solve for x
    x = 57,978,478,740,579,840/399,364,320
  6. Step 6: Final answer
    x = 145,176,912

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.