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Finding the Fourth Proportional to 392,578,052.64, 541,750,684.12 and 213,963,549.72

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Solution

The fourth proportional to 392,578,052.64, 541,750,684.12 and 213,963,549.72 is: 295,265,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,578,052.64 : 541,750,684.12 = 213,963,549.72 : x
  2. Step 2: Convert to fraction form
    392,578,052.64/541,750,684.12 = 213,963,549.72/x
  3. Step 3: Cross multiply
    392,578,052.64x = 541,750,684.12 × 213,963,549.72
  4. Step 4: Simplify right side
    392,578,052.64x = 115,914,899,437,553,632
  5. Step 5: Solve for x
    x = 115,914,899,437,553,632/392,578,052.64
  6. Step 6: Final answer
    x = 295,265,867.92

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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.