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Finding the Fourth Proportional to 405,276.48, 607,913.91 and 380,614.31

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Solution

The fourth proportional to 405,276.48, 607,913.91 and 380,614.31 is: 570,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,276.48 : 607,913.91 = 380,614.31 : x
  2. Step 2: Convert to fraction form
    405,276.48/607,913.91 = 380,614.31/x
  3. Step 3: Cross multiply
    405,276.48x = 607,913.91 × 380,614.31
  4. Step 4: Simplify right side
    405,276.48x = 231,380,730,354.48
  5. Step 5: Solve for x
    x = 231,380,730,354.48/405,276.48
  6. Step 6: Final answer
    x = 570,920.70

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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.