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Finding the Fourth Proportional to 315,817.72, 435,810.09 and 172,578.94

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Solution

The fourth proportional to 315,817.72, 435,810.09 and 172,578.94 is: 238,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,817.72 : 435,810.09 = 172,578.94 : x
  2. Step 2: Convert to fraction form
    315,817.72/435,810.09 = 172,578.94/x
  3. Step 3: Cross multiply
    315,817.72x = 435,810.09 × 172,578.94
  4. Step 4: Simplify right side
    315,817.72x = 75,211,643,373.50
  5. Step 5: Solve for x
    x = 75,211,643,373.50/315,817.72
  6. Step 6: Final answer
    x = 238,148.90

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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.