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Finding the Fourth Proportional to 416,358, 624,554.28 and 120,870

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Solution

The fourth proportional to 416,358, 624,554.28 and 120,870 is: 181,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,358 : 624,554.28 = 120,870 : x
  2. Step 2: Convert to fraction form
    416,358/624,554.28 = 120,870/x
  3. Step 3: Cross multiply
    416,358x = 624,554.28 × 120,870
  4. Step 4: Simplify right side
    416,358x = 75,489,875,823.60
  5. Step 5: Solve for x
    x = 75,489,875,823.60/416,358
  6. Step 6: Final answer
    x = 181,310.02

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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.