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Finding the Fourth Proportional to 310,307,900.40, 465,461,850.60 and 284,105,890.80

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Solution

The fourth proportional to 310,307,900.40, 465,461,850.60 and 284,105,890.80 is: 426,158,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,307,900.40 : 465,461,850.60 = 284,105,890.80 : x
  2. Step 2: Convert to fraction form
    310,307,900.40/465,461,850.60 = 284,105,890.80/x
  3. Step 3: Cross multiply
    310,307,900.40x = 465,461,850.60 × 284,105,890.80
  4. Step 4: Simplify right side
    310,307,900.40x = 132,240,453,698,129,520
  5. Step 5: Solve for x
    x = 132,240,453,698,129,520/310,307,900.40
  6. Step 6: Final answer
    x = 426,158,836.20

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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.