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Finding the Fourth Proportional to 630,817.80, 946,378.06 and 210,097.48

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Solution

The fourth proportional to 630,817.80, 946,378.06 and 210,097.48 is: 315,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,817.80 : 946,378.06 = 210,097.48 : x
  2. Step 2: Convert to fraction form
    630,817.80/946,378.06 = 210,097.48/x
  3. Step 3: Cross multiply
    630,817.80x = 946,378.06 × 210,097.48
  4. Step 4: Simplify right side
    630,817.80x = 198,831,645,533.29
  5. Step 5: Solve for x
    x = 198,831,645,533.29/630,817.80
  6. Step 6: Final answer
    x = 315,196.63

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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.