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Finding the Fourth Proportional to 402,513.20, 603,769.80 and 260,795.60

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Solution

The fourth proportional to 402,513.20, 603,769.80 and 260,795.60 is: 391,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,513.20 : 603,769.80 = 260,795.60 : x
  2. Step 2: Convert to fraction form
    402,513.20/603,769.80 = 260,795.60/x
  3. Step 3: Cross multiply
    402,513.20x = 603,769.80 × 260,795.60
  4. Step 4: Simplify right side
    402,513.20x = 157,460,507,252.88
  5. Step 5: Solve for x
    x = 157,460,507,252.88/402,513.20
  6. Step 6: Final answer
    x = 391,193.40

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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.