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Finding the Fourth Proportional to 425,178, 586,703.05 and 261,808.31

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Solution

The fourth proportional to 425,178, 586,703.05 and 261,808.31 is: 361,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,178 : 586,703.05 = 261,808.31 : x
  2. Step 2: Convert to fraction form
    425,178/586,703.05 = 261,808.31/x
  3. Step 3: Cross multiply
    425,178x = 586,703.05 × 261,808.31
  4. Step 4: Simplify right side
    425,178x = 153,603,734,804.58
  5. Step 5: Solve for x
    x = 153,603,734,804.58/425,178
  6. Step 6: Final answer
    x = 361,269.24

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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.