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Finding the Fourth Proportional to 413,128.80, 619,693.20 and 393,445.80

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Solution

The fourth proportional to 413,128.80, 619,693.20 and 393,445.80 is: 590,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,128.80 : 619,693.20 = 393,445.80 : x
  2. Step 2: Convert to fraction form
    413,128.80/619,693.20 = 393,445.80/x
  3. Step 3: Cross multiply
    413,128.80x = 619,693.20 × 393,445.80
  4. Step 4: Simplify right side
    413,128.80x = 243,815,686,828.56
  5. Step 5: Solve for x
    x = 243,815,686,828.56/413,128.80
  6. Step 6: Final answer
    x = 590,168.70

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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.