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Finding the Fourth Proportional to 409,898.25, 614,847.38 and 129,415.50

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Solution

The fourth proportional to 409,898.25, 614,847.38 and 129,415.50 is: 194,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,898.25 : 614,847.38 = 129,415.50 : x
  2. Step 2: Convert to fraction form
    409,898.25/614,847.38 = 129,415.50/x
  3. Step 3: Cross multiply
    409,898.25x = 614,847.38 × 129,415.50
  4. Step 4: Simplify right side
    409,898.25x = 79,570,780,459.31
  5. Step 5: Solve for x
    x = 79,570,780,459.31/409,898.25
  6. Step 6: Final answer
    x = 194,123.25

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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.