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Finding the Fourth Proportional to 664,307,999.60, 996,461,999.40 and 319,178,404.40

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Solution

The fourth proportional to 664,307,999.60, 996,461,999.40 and 319,178,404.40 is: 478,767,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,307,999.60 : 996,461,999.40 = 319,178,404.40 : x
  2. Step 2: Convert to fraction form
    664,307,999.60/996,461,999.40 = 319,178,404.40/x
  3. Step 3: Cross multiply
    664,307,999.60x = 996,461,999.40 × 319,178,404.40
  4. Step 4: Simplify right side
    664,307,999.60x = 318,049,151,013,725,696
  5. Step 5: Solve for x
    x = 318,049,151,013,725,696/664,307,999.60
  6. Step 6: Final answer
    x = 478,767,606.60

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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.