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Finding the Fourth Proportional to 421,805.20, 633,322.20 and 297,696.40

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Solution

The fourth proportional to 421,805.20, 633,322.20 and 297,696.40 is: 446,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,805.20 : 633,322.20 = 297,696.40 : x
  2. Step 2: Convert to fraction form
    421,805.20/633,322.20 = 297,696.40/x
  3. Step 3: Cross multiply
    421,805.20x = 633,322.20 × 297,696.40
  4. Step 4: Simplify right side
    421,805.20x = 188,537,738,980.08
  5. Step 5: Solve for x
    x = 188,537,738,980.08/421,805.20
  6. Step 6: Final answer
    x = 446,978.22

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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.