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Finding the Fourth Proportional to 405,241.72, 607,319.18 and 315,392.90

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Solution

The fourth proportional to 405,241.72, 607,319.18 and 315,392.90 is: 472,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,241.72 : 607,319.18 = 315,392.90 : x
  2. Step 2: Convert to fraction form
    405,241.72/607,319.18 = 315,392.90/x
  3. Step 3: Cross multiply
    405,241.72x = 607,319.18 × 315,392.90
  4. Step 4: Simplify right side
    405,241.72x = 191,544,157,405.82
  5. Step 5: Solve for x
    x = 191,544,157,405.82/405,241.72
  6. Step 6: Final answer
    x = 472,666.43

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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.