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Finding the Fourth Proportional to 421,810.20, 633,329.70 and 297,701.40

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Solution

The fourth proportional to 421,810.20, 633,329.70 and 297,701.40 is: 446,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,810.20 : 633,329.70 = 297,701.40 : x
  2. Step 2: Convert to fraction form
    421,810.20/633,329.70 = 297,701.40/x
  3. Step 3: Cross multiply
    421,810.20x = 633,329.70 × 297,701.40
  4. Step 4: Simplify right side
    421,810.20x = 188,543,138,351.58
  5. Step 5: Solve for x
    x = 188,543,138,351.58/421,810.20
  6. Step 6: Final answer
    x = 446,985.73

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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.