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Finding the Fourth Proportional to 402,678.29, 604,021.07 and 122,195.54

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Solution

The fourth proportional to 402,678.29, 604,021.07 and 122,195.54 is: 183,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,678.29 : 604,021.07 = 122,195.54 : x
  2. Step 2: Convert to fraction form
    402,678.29/604,021.07 = 122,195.54/x
  3. Step 3: Cross multiply
    402,678.29x = 604,021.07 × 122,195.54
  4. Step 4: Simplify right side
    402,678.29x = 73,808,677,188.94
  5. Step 5: Solve for x
    x = 73,808,677,188.94/402,678.29
  6. Step 6: Final answer
    x = 183,294.41

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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.