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Finding the Fourth Proportional to 312,999.64, 468,698.10 and 172,602.52

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Solution

The fourth proportional to 312,999.64, 468,698.10 and 172,602.52 is: 258,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,999.64 : 468,698.10 = 172,602.52 : x
  2. Step 2: Convert to fraction form
    312,999.64/468,698.10 = 172,602.52/x
  3. Step 3: Cross multiply
    312,999.64x = 468,698.10 × 172,602.52
  4. Step 4: Simplify right side
    312,999.64x = 80,898,473,179.21
  5. Step 5: Solve for x
    x = 80,898,473,179.21/312,999.64
  6. Step 6: Final answer
    x = 258,461.87

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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.