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Finding the Fourth Proportional to 409,491.60, 614,237.40 and 303,203.40

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Solution

The fourth proportional to 409,491.60, 614,237.40 and 303,203.40 is: 454,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,491.60 : 614,237.40 = 303,203.40 : x
  2. Step 2: Convert to fraction form
    409,491.60/614,237.40 = 303,203.40/x
  3. Step 3: Cross multiply
    409,491.60x = 614,237.40 × 303,203.40
  4. Step 4: Simplify right side
    409,491.60x = 186,238,868,087.16
  5. Step 5: Solve for x
    x = 186,238,868,087.16/409,491.60
  6. Step 6: Final answer
    x = 454,805.10

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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.