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Finding the Fourth Proportional to 363,430.10, 545,663.55 and 275,302.10

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Solution

The fourth proportional to 363,430.10, 545,663.55 and 275,302.10 is: 413,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,430.10 : 545,663.55 = 275,302.10 : x
  2. Step 2: Convert to fraction form
    363,430.10/545,663.55 = 275,302.10/x
  3. Step 3: Cross multiply
    363,430.10x = 545,663.55 × 275,302.10
  4. Step 4: Simplify right side
    363,430.10x = 150,222,321,208.46
  5. Step 5: Solve for x
    x = 150,222,321,208.46/363,430.10
  6. Step 6: Final answer
    x = 413,345.84

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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.