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Finding the Fourth Proportional to 664,308,052.60, 996,462,078.90 and 319,178,457.40

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Solution

The fourth proportional to 664,308,052.60, 996,462,078.90 and 319,178,457.40 is: 478,767,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,308,052.60 : 996,462,078.90 = 319,178,457.40 : x
  2. Step 2: Convert to fraction form
    664,308,052.60/996,462,078.90 = 319,178,457.40/x
  3. Step 3: Cross multiply
    664,308,052.60x = 996,462,078.90 × 319,178,457.40
  4. Step 4: Simplify right side
    664,308,052.60x = 318,049,229,200,899,072
  5. Step 5: Solve for x
    x = 318,049,229,200,899,072/664,308,052.60
  6. Step 6: Final answer
    x = 478,767,686.10

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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.