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Finding the Fourth Proportional to 420,715.72, 631,303.22 and 243,568.72

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Solution

The fourth proportional to 420,715.72, 631,303.22 and 243,568.72 is: 365,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,715.72 : 631,303.22 = 243,568.72 : x
  2. Step 2: Convert to fraction form
    420,715.72/631,303.22 = 243,568.72/x
  3. Step 3: Cross multiply
    420,715.72x = 631,303.22 × 243,568.72
  4. Step 4: Simplify right side
    420,715.72x = 153,765,717,255.26
  5. Step 5: Solve for x
    x = 153,765,717,255.26/420,715.72
  6. Step 6: Final answer
    x = 365,486.03

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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.