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Finding the Fourth Proportional to 419,312.18, 578,661.18 and 228,335.96

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Solution

The fourth proportional to 419,312.18, 578,661.18 and 228,335.96 is: 315,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,312.18 : 578,661.18 = 228,335.96 : x
  2. Step 2: Convert to fraction form
    419,312.18/578,661.18 = 228,335.96/x
  3. Step 3: Cross multiply
    419,312.18x = 578,661.18 × 228,335.96
  4. Step 4: Simplify right side
    419,312.18x = 132,129,156,050.03
  5. Step 5: Solve for x
    x = 132,129,156,050.03/419,312.18
  6. Step 6: Final answer
    x = 315,109.27

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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.