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Finding the Fourth Proportional to 419,602.38, 629,465.58 and 153,300.66

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Solution

The fourth proportional to 419,602.38, 629,465.58 and 153,300.66 is: 229,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,602.38 : 629,465.58 = 153,300.66 : x
  2. Step 2: Convert to fraction form
    419,602.38/629,465.58 = 153,300.66/x
  3. Step 3: Cross multiply
    419,602.38x = 629,465.58 × 153,300.66
  4. Step 4: Simplify right side
    419,602.38x = 96,497,488,861.28
  5. Step 5: Solve for x
    x = 96,497,488,861.28/419,602.38
  6. Step 6: Final answer
    x = 229,973.65

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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.