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Finding the Fourth Proportional to 412,830, 619,349.04 and 117,342

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Solution

The fourth proportional to 412,830, 619,349.04 and 117,342 is: 176,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,830 : 619,349.04 = 117,342 : x
  2. Step 2: Convert to fraction form
    412,830/619,349.04 = 117,342/x
  3. Step 3: Cross multiply
    412,830x = 619,349.04 × 117,342
  4. Step 4: Simplify right side
    412,830x = 72,675,655,051.68
  5. Step 5: Solve for x
    x = 72,675,655,051.68/412,830
  6. Step 6: Final answer
    x = 176,042.57

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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.