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Finding the Fourth Proportional to 398,607,600.30, 597,911,400.45 and 360,343,848.30

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Solution

The fourth proportional to 398,607,600.30, 597,911,400.45 and 360,343,848.30 is: 540,515,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,607,600.30 : 597,911,400.45 = 360,343,848.30 : x
  2. Step 2: Convert to fraction form
    398,607,600.30/597,911,400.45 = 360,343,848.30/x
  3. Step 3: Cross multiply
    398,607,600.30x = 597,911,400.45 × 360,343,848.30
  4. Step 4: Simplify right side
    398,607,600.30x = 215,453,694,980,595,392
  5. Step 5: Solve for x
    x = 215,453,694,980,595,392/398,607,600.30
  6. Step 6: Final answer
    x = 540,515,772.45

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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.