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Finding the Fourth Proportional to 290,448,643.20, 407,648,467.20 and 290,448,643.20

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Solution

The fourth proportional to 290,448,643.20, 407,648,467.20 and 290,448,643.20 is: 407,648,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,448,643.20 : 407,648,467.20 = 290,448,643.20 : x
  2. Step 2: Convert to fraction form
    290,448,643.20/407,648,467.20 = 290,448,643.20/x
  3. Step 3: Cross multiply
    290,448,643.20x = 407,648,467.20 × 290,448,643.20
  4. Step 4: Simplify right side
    290,448,643.20x = 118,400,944,200,799,696
  5. Step 5: Solve for x
    x = 118,400,944,200,799,696/290,448,643.20
  6. Step 6: Final answer
    x = 407,648,467.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.