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Finding the Fourth Proportional to 256,651,931.20, 384,930,657.60 and 159,433,657.60

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Solution

The fourth proportional to 256,651,931.20, 384,930,657.60 and 159,433,657.60 is: 239,121,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,651,931.20 : 384,930,657.60 = 159,433,657.60 : x
  2. Step 2: Convert to fraction form
    256,651,931.20/384,930,657.60 = 159,433,657.60/x
  3. Step 3: Cross multiply
    256,651,931.20x = 384,930,657.60 × 159,433,657.60
  4. Step 4: Simplify right side
    256,651,931.20x = 61,370,902,663,541,240
  5. Step 5: Solve for x
    x = 61,370,902,663,541,240/256,651,931.20
  6. Step 6: Final answer
    x = 239,121,141.14

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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.