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Finding the Fourth Proportional to 560,671,893.60, 773,735,331.12 and 309,782,057.76

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Solution

The fourth proportional to 560,671,893.60, 773,735,331.12 and 309,782,057.76 is: 427,503,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,671,893.60 : 773,735,331.12 = 309,782,057.76 : x
  2. Step 2: Convert to fraction form
    560,671,893.60/773,735,331.12 = 309,782,057.76/x
  3. Step 3: Cross multiply
    560,671,893.60x = 773,735,331.12 × 309,782,057.76
  4. Step 4: Simplify right side
    560,671,893.60x = 239,689,323,035,968,544
  5. Step 5: Solve for x
    x = 239,689,323,035,968,544/560,671,893.60
  6. Step 6: Final answer
    x = 427,503,725.03

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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.