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Finding the Fourth Proportional to 319,307,773.20, 478,961,659.80 and 319,307,773.20

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Solution

The fourth proportional to 319,307,773.20, 478,961,659.80 and 319,307,773.20 is: 478,961,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,307,773.20 : 478,961,659.80 = 319,307,773.20 : x
  2. Step 2: Convert to fraction form
    319,307,773.20/478,961,659.80 = 319,307,773.20/x
  3. Step 3: Cross multiply
    319,307,773.20x = 478,961,659.80 × 319,307,773.20
  4. Step 4: Simplify right side
    319,307,773.20x = 152,936,181,038,913,952
  5. Step 5: Solve for x
    x = 152,936,181,038,913,952/319,307,773.20
  6. Step 6: Final answer
    x = 478,961,659.80

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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.