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Finding the Fourth Proportional to 402,811.27, 604,266.14 and 136,647.93

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Solution

The fourth proportional to 402,811.27, 604,266.14 and 136,647.93 is: 204,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,811.27 : 604,266.14 = 136,647.93 : x
  2. Step 2: Convert to fraction form
    402,811.27/604,266.14 = 136,647.93/x
  3. Step 3: Cross multiply
    402,811.27x = 604,266.14 × 136,647.93
  4. Step 4: Simplify right side
    402,811.27x = 82,571,713,495.52
  5. Step 5: Solve for x
    x = 82,571,713,495.52/402,811.27
  6. Step 6: Final answer
    x = 204,988.59

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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.