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Finding the Fourth Proportional to 320,455,487.70, 480,677,978.70 and 102,102,863.58

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Solution

The fourth proportional to 320,455,487.70, 480,677,978.70 and 102,102,863.58 is: 153,152,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,455,487.70 : 480,677,978.70 = 102,102,863.58 : x
  2. Step 2: Convert to fraction form
    320,455,487.70/480,677,978.70 = 102,102,863.58/x
  3. Step 3: Cross multiply
    320,455,487.70x = 480,677,978.70 × 102,102,863.58
  4. Step 4: Simplify right side
    320,455,487.70x = 49,078,598,085,116,240
  5. Step 5: Solve for x
    x = 49,078,598,085,116,240/320,455,487.70
  6. Step 6: Final answer
    x = 153,152,621.72

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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.