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Finding the Fourth Proportional to 630,288, 945,440.24 and 209,563.88

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Solution

The fourth proportional to 630,288, 945,440.24 and 209,563.88 is: 314,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,288 : 945,440.24 = 209,563.88 : x
  2. Step 2: Convert to fraction form
    630,288/945,440.24 = 209,563.88/x
  3. Step 3: Cross multiply
    630,288x = 945,440.24 × 209,563.88
  4. Step 4: Simplify right side
    630,288x = 198,130,119,227.51
  5. Step 5: Solve for x
    x = 198,130,119,227.51/630,288
  6. Step 6: Final answer
    x = 314,348.55

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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.