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Finding the Fourth Proportional to 476,645, 715,065.96 and 139,696.70

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Solution

The fourth proportional to 476,645, 715,065.96 and 139,696.70 is: 209,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,645 : 715,065.96 = 139,696.70 : x
  2. Step 2: Convert to fraction form
    476,645/715,065.96 = 139,696.70/x
  3. Step 3: Cross multiply
    476,645x = 715,065.96 × 139,696.70
  4. Step 4: Simplify right side
    476,645x = 99,892,354,894.33
  5. Step 5: Solve for x
    x = 99,892,354,894.33/476,645
  6. Step 6: Final answer
    x = 209,573.91

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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.