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Finding the Fourth Proportional to 342,415.83, 513,693.80 and 117,747.07

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Solution

The fourth proportional to 342,415.83, 513,693.80 and 117,747.07 is: 176,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,415.83 : 513,693.80 = 117,747.07 : x
  2. Step 2: Convert to fraction form
    342,415.83/513,693.80 = 117,747.07/x
  3. Step 3: Cross multiply
    342,415.83x = 513,693.80 × 117,747.07
  4. Step 4: Simplify right side
    342,415.83x = 60,485,940,522.67
  5. Step 5: Solve for x
    x = 60,485,940,522.67/342,415.83
  6. Step 6: Final answer
    x = 176,644.70

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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.