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Finding the Fourth Proportional to 418,458.40, 577,709.94 and 320,156.86

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Solution

The fourth proportional to 418,458.40, 577,709.94 and 320,156.86 is: 441,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,458.40 : 577,709.94 = 320,156.86 : x
  2. Step 2: Convert to fraction form
    418,458.40/577,709.94 = 320,156.86/x
  3. Step 3: Cross multiply
    418,458.40x = 577,709.94 × 320,156.86
  4. Step 4: Simplify right side
    418,458.40x = 184,957,800,381.19
  5. Step 5: Solve for x
    x = 184,957,800,381.19/418,458.40
  6. Step 6: Final answer
    x = 441,998.06

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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.