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Finding the Fourth Proportional to 630,309.96, 945,473.13 and 209,585.82

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Solution

The fourth proportional to 630,309.96, 945,473.13 and 209,585.82 is: 314,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,309.96 : 945,473.13 = 209,585.82 : x
  2. Step 2: Convert to fraction form
    630,309.96/945,473.13 = 209,585.82/x
  3. Step 3: Cross multiply
    630,309.96x = 945,473.13 × 209,585.82
  4. Step 4: Simplify right side
    630,309.96x = 198,157,761,239.02
  5. Step 5: Solve for x
    x = 198,157,761,239.02/630,309.96
  6. Step 6: Final answer
    x = 314,381.45

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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.