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Finding the Fourth Proportional to 402,477.20, 603,788.70 and 202,293.80

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Solution

The fourth proportional to 402,477.20, 603,788.70 and 202,293.80 is: 303,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,477.20 : 603,788.70 = 202,293.80 : x
  2. Step 2: Convert to fraction form
    402,477.20/603,788.70 = 202,293.80/x
  3. Step 3: Cross multiply
    402,477.20x = 603,788.70 × 202,293.80
  4. Step 4: Simplify right side
    402,477.20x = 122,142,710,520.06
  5. Step 5: Solve for x
    x = 122,142,710,520.06/402,477.20
  6. Step 6: Final answer
    x = 303,477.34

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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.