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Finding the Fourth Proportional to 468,763,983.84, 646,834,840.76 and 257,015,093.16

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Solution

The fourth proportional to 468,763,983.84, 646,834,840.76 and 257,015,093.16 is: 354,648,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,763,983.84 : 646,834,840.76 = 257,015,093.16 : x
  2. Step 2: Convert to fraction form
    468,763,983.84/646,834,840.76 = 257,015,093.16/x
  3. Step 3: Cross multiply
    468,763,983.84x = 646,834,840.76 × 257,015,093.16
  4. Step 4: Simplify right side
    468,763,983.84x = 166,246,316,853,354,464
  5. Step 5: Solve for x
    x = 166,246,316,853,354,464/468,763,983.84
  6. Step 6: Final answer
    x = 354,648,229.35

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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.