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Finding the Fourth Proportional to 408,027.80, 612,041.70 and 313,549.40

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Solution

The fourth proportional to 408,027.80, 612,041.70 and 313,549.40 is: 470,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,027.80 : 612,041.70 = 313,549.40 : x
  2. Step 2: Convert to fraction form
    408,027.80/612,041.70 = 313,549.40/x
  3. Step 3: Cross multiply
    408,027.80x = 612,041.70 × 313,549.40
  4. Step 4: Simplify right side
    408,027.80x = 191,905,307,809.98
  5. Step 5: Solve for x
    x = 191,905,307,809.98/408,027.80
  6. Step 6: Final answer
    x = 470,324.10

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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.