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Finding the Fourth Proportional to 421,205.80, 631,808.70 and 421,205.80

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Solution

The fourth proportional to 421,205.80, 631,808.70 and 421,205.80 is: 631,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,205.80 : 631,808.70 = 421,205.80 : x
  2. Step 2: Convert to fraction form
    421,205.80/631,808.70 = 421,205.80/x
  3. Step 3: Cross multiply
    421,205.80x = 631,808.70 × 421,205.80
  4. Step 4: Simplify right side
    421,205.80x = 266,121,488,930.46
  5. Step 5: Solve for x
    x = 266,121,488,930.46/421,205.80
  6. Step 6: Final answer
    x = 631,808.70

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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.