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Finding the Fourth Proportional to 342,078.60, 513,117.90 and 164,603.55

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Solution

The fourth proportional to 342,078.60, 513,117.90 and 164,603.55 is: 246,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,078.60 : 513,117.90 = 164,603.55 : x
  2. Step 2: Convert to fraction form
    342,078.60/513,117.90 = 164,603.55/x
  3. Step 3: Cross multiply
    342,078.60x = 513,117.90 × 164,603.55
  4. Step 4: Simplify right side
    342,078.60x = 84,461,027,908.55
  5. Step 5: Solve for x
    x = 84,461,027,908.55/342,078.60
  6. Step 6: Final answer
    x = 246,905.33

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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.