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Finding the Fourth Proportional to 430,059.51, 644,478.39 and 316,849.59

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Solution

The fourth proportional to 430,059.51, 644,478.39 and 316,849.59 is: 474,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,059.51 : 644,478.39 = 316,849.59 : x
  2. Step 2: Convert to fraction form
    430,059.51/644,478.39 = 316,849.59/x
  3. Step 3: Cross multiply
    430,059.51x = 644,478.39 × 316,849.59
  4. Step 4: Simplify right side
    430,059.51x = 204,202,713,635.36
  5. Step 5: Solve for x
    x = 204,202,713,635.36/430,059.51
  6. Step 6: Final answer
    x = 474,824.32

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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.