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Finding the Fourth Proportional to 475,609.76, 713,336.88 and 143,108

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Solution

The fourth proportional to 475,609.76, 713,336.88 and 143,108 is: 214,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,609.76 : 713,336.88 = 143,108 : x
  2. Step 2: Convert to fraction form
    475,609.76/713,336.88 = 143,108/x
  3. Step 3: Cross multiply
    475,609.76x = 713,336.88 × 143,108
  4. Step 4: Simplify right side
    475,609.76x = 102,084,214,223.04
  5. Step 5: Solve for x
    x = 102,084,214,223.04/475,609.76
  6. Step 6: Final answer
    x = 214,638.60

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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.