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Finding the Fourth Proportional to 419,341.88, 578,698.39 and 228,355.12

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Solution

The fourth proportional to 419,341.88, 578,698.39 and 228,355.12 is: 315,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,341.88 : 578,698.39 = 228,355.12 : x
  2. Step 2: Convert to fraction form
    419,341.88/578,698.39 = 228,355.12/x
  3. Step 3: Cross multiply
    419,341.88x = 578,698.39 × 228,355.12
  4. Step 4: Simplify right side
    419,341.88x = 132,148,740,292.26
  5. Step 5: Solve for x
    x = 132,148,740,292.26/419,341.88
  6. Step 6: Final answer
    x = 315,133.66

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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.