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Finding the Fourth Proportional to 437,165.40, 656,039.70 and 200,386.20

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Solution

The fourth proportional to 437,165.40, 656,039.70 and 200,386.20 is: 300,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,165.40 : 656,039.70 = 200,386.20 : x
  2. Step 2: Convert to fraction form
    437,165.40/656,039.70 = 200,386.20/x
  3. Step 3: Cross multiply
    437,165.40x = 656,039.70 × 200,386.20
  4. Step 4: Simplify right side
    437,165.40x = 131,461,302,532.14
  5. Step 5: Solve for x
    x = 131,461,302,532.14/437,165.40
  6. Step 6: Final answer
    x = 300,712.96

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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.