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Finding the Fourth Proportional to 630,291.28, 945,437.04 and 209,570.80

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Solution

The fourth proportional to 630,291.28, 945,437.04 and 209,570.80 is: 314,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,291.28 : 945,437.04 = 209,570.80 : x
  2. Step 2: Convert to fraction form
    630,291.28/945,437.04 = 209,570.80/x
  3. Step 3: Cross multiply
    630,291.28x = 945,437.04 × 209,570.80
  4. Step 4: Simplify right side
    630,291.28x = 198,135,996,822.43
  5. Step 5: Solve for x
    x = 198,135,996,822.43/630,291.28
  6. Step 6: Final answer
    x = 314,356.24

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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.