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Finding the Fourth Proportional to 419,776.64, 579,274.80 and 228,785.92

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Solution

The fourth proportional to 419,776.64, 579,274.80 and 228,785.92 is: 315,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,776.64 : 579,274.80 = 228,785.92 : x
  2. Step 2: Convert to fraction form
    419,776.64/579,274.80 = 228,785.92/x
  3. Step 3: Cross multiply
    419,776.64x = 579,274.80 × 228,785.92
  4. Step 4: Simplify right side
    419,776.64x = 132,529,918,050.82
  5. Step 5: Solve for x
    x = 132,529,918,050.82/419,776.64
  6. Step 6: Final answer
    x = 315,715.32

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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.