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Finding the Fourth Proportional to 540,419.40, 810,674.10 and 161,315.10

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Solution

The fourth proportional to 540,419.40, 810,674.10 and 161,315.10 is: 241,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,419.40 : 810,674.10 = 161,315.10 : x
  2. Step 2: Convert to fraction form
    540,419.40/810,674.10 = 161,315.10/x
  3. Step 3: Cross multiply
    540,419.40x = 810,674.10 × 161,315.10
  4. Step 4: Simplify right side
    540,419.40x = 130,773,973,508.91
  5. Step 5: Solve for x
    x = 130,773,973,508.91/540,419.40
  6. Step 6: Final answer
    x = 241,986.08

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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.