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Finding the Fourth Proportional to 315,785.83, 435,784.55 and 170,591.66

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Solution

The fourth proportional to 315,785.83, 435,784.55 and 170,591.66 is: 235,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,785.83 : 435,784.55 = 170,591.66 : x
  2. Step 2: Convert to fraction form
    315,785.83/435,784.55 = 170,591.66/x
  3. Step 3: Cross multiply
    315,785.83x = 435,784.55 × 170,591.66
  4. Step 4: Simplify right side
    315,785.83x = 74,341,209,786.85
  5. Step 5: Solve for x
    x = 74,341,209,786.85/315,785.83
  6. Step 6: Final answer
    x = 235,416.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.