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Finding the Fourth Proportional to 342,004.20, 513,006.30 and 105,419.40

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Solution

The fourth proportional to 342,004.20, 513,006.30 and 105,419.40 is: 158,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,004.20 : 513,006.30 = 105,419.40 : x
  2. Step 2: Convert to fraction form
    342,004.20/513,006.30 = 105,419.40/x
  3. Step 3: Cross multiply
    342,004.20x = 513,006.30 × 105,419.40
  4. Step 4: Simplify right side
    342,004.20x = 54,080,816,342.22
  5. Step 5: Solve for x
    x = 54,080,816,342.22/342,004.20
  6. Step 6: Final answer
    x = 158,129.10

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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.