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Finding the Fourth Proportional to 631,694, 947,604.72 and 205,212.08

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Solution

The fourth proportional to 631,694, 947,604.72 and 205,212.08 is: 307,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,694 : 947,604.72 = 205,212.08 : x
  2. Step 2: Convert to fraction form
    631,694/947,604.72 = 205,212.08/x
  3. Step 3: Cross multiply
    631,694x = 947,604.72 × 205,212.08
  4. Step 4: Simplify right side
    631,694x = 194,459,935,609.02
  5. Step 5: Solve for x
    x = 194,459,935,609.02/631,694
  6. Step 6: Final answer
    x = 307,838.82

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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.