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Finding the Fourth Proportional to 621,830.30, 932,284.65 and 421,651.10

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Solution

The fourth proportional to 621,830.30, 932,284.65 and 421,651.10 is: 632,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,830.30 : 932,284.65 = 421,651.10 : x
  2. Step 2: Convert to fraction form
    621,830.30/932,284.65 = 421,651.10/x
  3. Step 3: Cross multiply
    621,830.30x = 932,284.65 × 421,651.10
  4. Step 4: Simplify right side
    621,830.30x = 393,098,848,185.62
  5. Step 5: Solve for x
    x = 393,098,848,185.62/621,830.30
  6. Step 6: Final answer
    x = 632,164.19

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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.