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Finding the Fourth Proportional to 315,784.63, 435,785.84 and 172,544.66

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Solution

The fourth proportional to 315,784.63, 435,785.84 and 172,544.66 is: 238,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,784.63 : 435,785.84 = 172,544.66 : x
  2. Step 2: Convert to fraction form
    315,784.63/435,785.84 = 172,544.66/x
  3. Step 3: Cross multiply
    315,784.63x = 435,785.84 × 172,544.66
  4. Step 4: Simplify right side
    315,784.63x = 75,192,519,595.61
  5. Step 5: Solve for x
    x = 75,192,519,595.61/315,784.63
  6. Step 6: Final answer
    x = 238,113.30

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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.