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Finding the Fourth Proportional to 509,889.41, 704,366.93 and 408,587.81

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Solution

The fourth proportional to 509,889.41, 704,366.93 and 408,587.81 is: 564,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,889.41 : 704,366.93 = 408,587.81 : x
  2. Step 2: Convert to fraction form
    509,889.41/704,366.93 = 408,587.81/x
  3. Step 3: Cross multiply
    509,889.41x = 704,366.93 × 408,587.81
  4. Step 4: Simplify right side
    509,889.41x = 287,795,741,365.12
  5. Step 5: Solve for x
    x = 287,795,741,365.12/509,889.41
  6. Step 6: Final answer
    x = 564,427.77

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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.