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Finding the Fourth Proportional to 402,674, 604,011 and 107,186

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Solution

The fourth proportional to 402,674, 604,011 and 107,186 is: 160,779

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,674 : 604,011 = 107,186 : x
  2. Step 2: Convert to fraction form
    402,674/604,011 = 107,186/x
  3. Step 3: Cross multiply
    402,674x = 604,011 × 107,186
  4. Step 4: Simplify right side
    402,674x = 64,741,523,046
  5. Step 5: Solve for x
    x = 64,741,523,046/402,674
  6. Step 6: Final answer
    x = 160,779

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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.