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Finding the Fourth Proportional to 540,076.58, 809,354.27 and 413,225.72

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Solution

The fourth proportional to 540,076.58, 809,354.27 and 413,225.72 is: 619,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,076.58 : 809,354.27 = 413,225.72 : x
  2. Step 2: Convert to fraction form
    540,076.58/809,354.27 = 413,225.72/x
  3. Step 3: Cross multiply
    540,076.58x = 809,354.27 × 413,225.72
  4. Step 4: Simplify right side
    540,076.58x = 334,445,994,842.93
  5. Step 5: Solve for x
    x = 334,445,994,842.93/540,076.58
  6. Step 6: Final answer
    x = 619,256.62

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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.