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Finding the Fourth Proportional to 613,115,999.70, 919,673,999.55 and 521,282,994.90

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Solution

The fourth proportional to 613,115,999.70, 919,673,999.55 and 521,282,994.90 is: 781,924,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,115,999.70 : 919,673,999.55 = 521,282,994.90 : x
  2. Step 2: Convert to fraction form
    613,115,999.70/919,673,999.55 = 521,282,994.90/x
  3. Step 3: Cross multiply
    613,115,999.70x = 919,673,999.55 × 521,282,994.90
  4. Step 4: Simplify right side
    613,115,999.70x = 479,410,416,817,085,184
  5. Step 5: Solve for x
    x = 479,410,416,817,085,184/613,115,999.70
  6. Step 6: Final answer
    x = 781,924,492.35

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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.