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Finding the Fourth Proportional to 419,409.80, 578,792.10 and 228,423.03

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Solution

The fourth proportional to 419,409.80, 578,792.10 and 228,423.03 is: 315,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,409.80 : 578,792.10 = 228,423.03 : x
  2. Step 2: Convert to fraction form
    419,409.80/578,792.10 = 228,423.03/x
  3. Step 3: Cross multiply
    419,409.80x = 578,792.10 × 228,423.03
  4. Step 4: Simplify right side
    419,409.80x = 132,209,445,222.06
  5. Step 5: Solve for x
    x = 132,209,445,222.06/419,409.80
  6. Step 6: Final answer
    x = 315,227.36

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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.