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Finding the Fourth Proportional to 405,478.36, 608,769.12 and 228,110.20

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Solution

The fourth proportional to 405,478.36, 608,769.12 and 228,110.20 is: 342,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,478.36 : 608,769.12 = 228,110.20 : x
  2. Step 2: Convert to fraction form
    405,478.36/608,769.12 = 228,110.20/x
  3. Step 3: Cross multiply
    405,478.36x = 608,769.12 × 228,110.20
  4. Step 4: Simplify right side
    405,478.36x = 138,866,445,717.02
  5. Step 5: Solve for x
    x = 138,866,445,717.02/405,478.36
  6. Step 6: Final answer
    x = 342,475.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.