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Finding the Fourth Proportional to 398,669,822.40, 598,004,733.60 and 398,669,822.40

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Solution

The fourth proportional to 398,669,822.40, 598,004,733.60 and 398,669,822.40 is: 598,004,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,669,822.40 : 598,004,733.60 = 398,669,822.40 : x
  2. Step 2: Convert to fraction form
    398,669,822.40/598,004,733.60 = 398,669,822.40/x
  3. Step 3: Cross multiply
    398,669,822.40x = 598,004,733.60 × 398,669,822.40
  4. Step 4: Simplify right side
    398,669,822.40x = 238,406,440,938,671,296
  5. Step 5: Solve for x
    x = 238,406,440,938,671,296/398,669,822.40
  6. Step 6: Final answer
    x = 598,004,733.60

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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.