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Finding the Fourth Proportional to 405,109.80, 607,664.70 and 254,862.90

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Solution

The fourth proportional to 405,109.80, 607,664.70 and 254,862.90 is: 382,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,109.80 : 607,664.70 = 254,862.90 : x
  2. Step 2: Convert to fraction form
    405,109.80/607,664.70 = 254,862.90/x
  3. Step 3: Cross multiply
    405,109.80x = 607,664.70 × 254,862.90
  4. Step 4: Simplify right side
    405,109.80x = 154,871,187,669.63
  5. Step 5: Solve for x
    x = 154,871,187,669.63/405,109.80
  6. Step 6: Final answer
    x = 382,294.35

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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.