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Finding the Fourth Proportional to 664,308,408.60, 996,462,612.90 and 319,178,813.40

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Solution

The fourth proportional to 664,308,408.60, 996,462,612.90 and 319,178,813.40 is: 478,768,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,308,408.60 : 996,462,612.90 = 319,178,813.40 : x
  2. Step 2: Convert to fraction form
    664,308,408.60/996,462,612.90 = 319,178,813.40/x
  3. Step 3: Cross multiply
    664,308,408.60x = 996,462,612.90 × 319,178,813.40
  4. Step 4: Simplify right side
    664,308,408.60x = 318,049,754,382,885,504
  5. Step 5: Solve for x
    x = 318,049,754,382,885,504/664,308,408.60
  6. Step 6: Final answer
    x = 478,768,220.10

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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.