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Finding the Fourth Proportional to 419,534.64, 578,952.60 and 228,543.96

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Solution

The fourth proportional to 419,534.64, 578,952.60 and 228,543.96 is: 315,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,534.64 : 578,952.60 = 228,543.96 : x
  2. Step 2: Convert to fraction form
    419,534.64/578,952.60 = 228,543.96/x
  3. Step 3: Cross multiply
    419,534.64x = 578,952.60 × 228,543.96
  4. Step 4: Simplify right side
    419,534.64x = 132,316,119,856.30
  5. Step 5: Solve for x
    x = 132,316,119,856.30/419,534.64
  6. Step 6: Final answer
    x = 315,387.83

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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.