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Finding the Fourth Proportional to 420,647.40, 631,627.20 and 243,500.40

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Solution

The fourth proportional to 420,647.40, 631,627.20 and 243,500.40 is: 365,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,647.40 : 631,627.20 = 243,500.40 : x
  2. Step 2: Convert to fraction form
    420,647.40/631,627.20 = 243,500.40/x
  3. Step 3: Cross multiply
    420,647.40x = 631,627.20 × 243,500.40
  4. Step 4: Simplify right side
    420,647.40x = 153,801,475,850.88
  5. Step 5: Solve for x
    x = 153,801,475,850.88/420,647.40
  6. Step 6: Final answer
    x = 365,630.40

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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.