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Finding the Fourth Proportional to 419,186, 578,475.72 and 228,200.72

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Solution

The fourth proportional to 419,186, 578,475.72 and 228,200.72 is: 314,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,186 : 578,475.72 = 228,200.72 : x
  2. Step 2: Convert to fraction form
    419,186/578,475.72 = 228,200.72/x
  3. Step 3: Cross multiply
    419,186x = 578,475.72 × 228,200.72
  4. Step 4: Simplify right side
    419,186x = 132,008,575,806.52
  5. Step 5: Solve for x
    x = 132,008,575,806.52/419,186
  6. Step 6: Final answer
    x = 314,916.47

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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.