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Finding the Fourth Proportional to 415,703.40, 624,015.90 and 258,109.80

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Solution

The fourth proportional to 415,703.40, 624,015.90 and 258,109.80 is: 387,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,703.40 : 624,015.90 = 258,109.80 : x
  2. Step 2: Convert to fraction form
    415,703.40/624,015.90 = 258,109.80/x
  3. Step 3: Cross multiply
    415,703.40x = 624,015.90 × 258,109.80
  4. Step 4: Simplify right side
    415,703.40x = 161,064,619,145.82
  5. Step 5: Solve for x
    x = 161,064,619,145.82/415,703.40
  6. Step 6: Final answer
    x = 387,450.81

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1.5x scale

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.