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Finding the Fourth Proportional to 284,461,405.60, 426,692,108.40 and 192,628,400.80

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Solution

The fourth proportional to 284,461,405.60, 426,692,108.40 and 192,628,400.80 is: 288,942,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,461,405.60 : 426,692,108.40 = 192,628,400.80 : x
  2. Step 2: Convert to fraction form
    284,461,405.60/426,692,108.40 = 192,628,400.80/x
  3. Step 3: Cross multiply
    284,461,405.60x = 426,692,108.40 × 192,628,400.80
  4. Step 4: Simplify right side
    284,461,405.60x = 82,193,018,475,072,240
  5. Step 5: Solve for x
    x = 82,193,018,475,072,240/284,461,405.60
  6. Step 6: Final answer
    x = 288,942,601.20

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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.