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Finding the Fourth Proportional to 405,530.10, 607,314.42 and 394,901.28

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Solution

The fourth proportional to 405,530.10, 607,314.42 and 394,901.28 is: 591,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,530.10 : 607,314.42 = 394,901.28 : x
  2. Step 2: Convert to fraction form
    405,530.10/607,314.42 = 394,901.28/x
  3. Step 3: Cross multiply
    405,530.10x = 607,314.42 × 394,901.28
  4. Step 4: Simplify right side
    405,530.10x = 239,829,241,820.46
  5. Step 5: Solve for x
    x = 239,829,241,820.46/405,530.10
  6. Step 6: Final answer
    x = 591,396.89

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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.