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Finding the Fourth Proportional to 422,430.10, 633,645.15 and 369,942.10

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Solution

The fourth proportional to 422,430.10, 633,645.15 and 369,942.10 is: 554,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,430.10 : 633,645.15 = 369,942.10 : x
  2. Step 2: Convert to fraction form
    422,430.10/633,645.15 = 369,942.10/x
  3. Step 3: Cross multiply
    422,430.10x = 633,645.15 × 369,942.10
  4. Step 4: Simplify right side
    422,430.10x = 234,412,017,445.82
  5. Step 5: Solve for x
    x = 234,412,017,445.82/422,430.10
  6. Step 6: Final answer
    x = 554,913.15

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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.