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Finding the Fourth Proportional to 419,465.76, 578,871.60 and 228,478.68

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Solution

The fourth proportional to 419,465.76, 578,871.60 and 228,478.68 is: 315,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,465.76 : 578,871.60 = 228,478.68 : x
  2. Step 2: Convert to fraction form
    419,465.76/578,871.60 = 228,478.68/x
  3. Step 3: Cross multiply
    419,465.76x = 578,871.60 × 228,478.68
  4. Step 4: Simplify right side
    419,465.76x = 132,259,819,057.49
  5. Step 5: Solve for x
    x = 132,259,819,057.49/419,465.76
  6. Step 6: Final answer
    x = 315,305.40

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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.