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Finding the Fourth Proportional to 400,779.54, 553,450.41 and 257,787.81

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Solution

The fourth proportional to 400,779.54, 553,450.41 and 257,787.81 is: 355,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,779.54 : 553,450.41 = 257,787.81 : x
  2. Step 2: Convert to fraction form
    400,779.54/553,450.41 = 257,787.81/x
  3. Step 3: Cross multiply
    400,779.54x = 553,450.41 × 257,787.81
  4. Step 4: Simplify right side
    400,779.54x = 142,672,769,137.50
  5. Step 5: Solve for x
    x = 142,672,769,137.50/400,779.54
  6. Step 6: Final answer
    x = 355,988.16

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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.