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Finding the Fourth Proportional to 392,496,627.52, 541,648,978.04 and 216,290,928.36

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Solution

The fourth proportional to 392,496,627.52, 541,648,978.04 and 216,290,928.36 is: 298,483,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,496,627.52 : 541,648,978.04 = 216,290,928.36 : x
  2. Step 2: Convert to fraction form
    392,496,627.52/541,648,978.04 = 216,290,928.36/x
  3. Step 3: Cross multiply
    392,496,627.52x = 541,648,978.04 × 216,290,928.36
  4. Step 4: Simplify right side
    392,496,627.52x = 117,153,760,305,516,848
  5. Step 5: Solve for x
    x = 117,153,760,305,516,848/392,496,627.52
  6. Step 6: Final answer
    x = 298,483,482.64

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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.