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Finding the Fourth Proportional to 419,095.34, 578,364.11 and 258,043.31

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Solution

The fourth proportional to 419,095.34, 578,364.11 and 258,043.31 is: 356,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,095.34 : 578,364.11 = 258,043.31 : x
  2. Step 2: Convert to fraction form
    419,095.34/578,364.11 = 258,043.31/x
  3. Step 3: Cross multiply
    419,095.34x = 578,364.11 × 258,043.31
  4. Step 4: Simplify right side
    419,095.34x = 149,242,989,329.60
  5. Step 5: Solve for x
    x = 149,242,989,329.60/419,095.34
  6. Step 6: Final answer
    x = 356,107.49

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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.