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Finding the Fourth Proportional to 509,384.28, 703,165.82 and 343,848.36

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Solution

The fourth proportional to 509,384.28, 703,165.82 and 343,848.36 is: 474,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,384.28 : 703,165.82 = 343,848.36 : x
  2. Step 2: Convert to fraction form
    509,384.28/703,165.82 = 343,848.36/x
  3. Step 3: Cross multiply
    509,384.28x = 703,165.82 × 343,848.36
  4. Step 4: Simplify right side
    509,384.28x = 241,782,412,295.81
  5. Step 5: Solve for x
    x = 241,782,412,295.81/509,384.28
  6. Step 6: Final answer
    x = 474,656.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.