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Finding the Fourth Proportional to 418,412.08, 577,406.50 and 227,426.50

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Solution

The fourth proportional to 418,412.08, 577,406.50 and 227,426.50 is: 313,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,412.08 : 577,406.50 = 227,426.50 : x
  2. Step 2: Convert to fraction form
    418,412.08/577,406.50 = 227,426.50/x
  3. Step 3: Cross multiply
    418,412.08x = 577,406.50 × 227,426.50
  4. Step 4: Simplify right side
    418,412.08x = 131,317,539,372.25
  5. Step 5: Solve for x
    x = 131,317,539,372.25/418,412.08
  6. Step 6: Final answer
    x = 313,847.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.