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Finding the Fourth Proportional to 648,216,356.58, 894,538,615.86 and 354,860,924.58

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Solution

The fourth proportional to 648,216,356.58, 894,538,615.86 and 354,860,924.58 is: 489,708,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,216,356.58 : 894,538,615.86 = 354,860,924.58 : x
  2. Step 2: Convert to fraction form
    648,216,356.58/894,538,615.86 = 354,860,924.58/x
  3. Step 3: Cross multiply
    648,216,356.58x = 894,538,615.86 × 354,860,924.58
  4. Step 4: Simplify right side
    648,216,356.58x = 317,436,800,296,593,024
  5. Step 5: Solve for x
    x = 317,436,800,296,593,024/648,216,356.58
  6. Step 6: Final answer
    x = 489,708,099.89

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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.