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Finding the Fourth Proportional to 398,640,805.30, 596,827,467.15 and 398,640,805.30

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Solution

The fourth proportional to 398,640,805.30, 596,827,467.15 and 398,640,805.30 is: 596,827,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,640,805.30 : 596,827,467.15 = 398,640,805.30 : x
  2. Step 2: Convert to fraction form
    398,640,805.30/596,827,467.15 = 398,640,805.30/x
  3. Step 3: Cross multiply
    398,640,805.30x = 596,827,467.15 × 398,640,805.30
  4. Step 4: Simplify right side
    398,640,805.30x = 237,919,782,129,835,296
  5. Step 5: Solve for x
    x = 237,919,782,129,835,296/398,640,805.30
  6. Step 6: Final answer
    x = 596,827,467.15

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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.