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Finding the Fourth Proportional to 458,051.35, 686,040.23 and 271,427.35

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Solution

The fourth proportional to 458,051.35, 686,040.23 and 271,427.35 is: 406,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,051.35 : 686,040.23 = 271,427.35 : x
  2. Step 2: Convert to fraction form
    458,051.35/686,040.23 = 271,427.35/x
  3. Step 3: Cross multiply
    458,051.35x = 686,040.23 × 271,427.35
  4. Step 4: Simplify right side
    458,051.35x = 186,210,080,265.15
  5. Step 5: Solve for x
    x = 186,210,080,265.15/458,051.35
  6. Step 6: Final answer
    x = 406,526.65

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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.