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Finding the Fourth Proportional to 409,813.40, 614,720.10 and 250,381.10

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Solution

The fourth proportional to 409,813.40, 614,720.10 and 250,381.10 is: 375,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,813.40 : 614,720.10 = 250,381.10 : x
  2. Step 2: Convert to fraction form
    409,813.40/614,720.10 = 250,381.10/x
  3. Step 3: Cross multiply
    409,813.40x = 614,720.10 × 250,381.10
  4. Step 4: Simplify right side
    409,813.40x = 153,914,294,830.11
  5. Step 5: Solve for x
    x = 153,914,294,830.11/409,813.40
  6. Step 6: Final answer
    x = 375,571.65

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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.