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Finding the Fourth Proportional to 433,987,978.47, 598,832,415.84 and 255,522,260.55

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Solution

The fourth proportional to 433,987,978.47, 598,832,415.84 and 255,522,260.55 is: 352,578,919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,987,978.47 : 598,832,415.84 = 255,522,260.55 : x
  2. Step 2: Convert to fraction form
    433,987,978.47/598,832,415.84 = 255,522,260.55/x
  3. Step 3: Cross multiply
    433,987,978.47x = 598,832,415.84 × 255,522,260.55
  4. Step 4: Simplify right side
    433,987,978.47x = 153,015,012,586,054,432
  5. Step 5: Solve for x
    x = 153,015,012,586,054,432/433,987,978.47
  6. Step 6: Final answer
    x = 352,578,919.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.