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Finding the Fourth Proportional to 319,115,201.80, 478,672,802.70 and 264,695,643.40

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Solution

The fourth proportional to 319,115,201.80, 478,672,802.70 and 264,695,643.40 is: 397,043,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,115,201.80 : 478,672,802.70 = 264,695,643.40 : x
  2. Step 2: Convert to fraction form
    319,115,201.80/478,672,802.70 = 264,695,643.40/x
  3. Step 3: Cross multiply
    319,115,201.80x = 478,672,802.70 × 264,695,643.40
  4. Step 4: Simplify right side
    319,115,201.80x = 126,702,605,488,757,760
  5. Step 5: Solve for x
    x = 126,702,605,488,757,760/319,115,201.80
  6. Step 6: Final answer
    x = 397,043,465.10

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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.