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Finding the Fourth Proportional to 405,039.30, 558,287.55 and 287,205.90

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Solution

The fourth proportional to 405,039.30, 558,287.55 and 287,205.90 is: 395,871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,039.30 : 558,287.55 = 287,205.90 : x
  2. Step 2: Convert to fraction form
    405,039.30/558,287.55 = 287,205.90/x
  3. Step 3: Cross multiply
    405,039.30x = 558,287.55 × 287,205.90
  4. Step 4: Simplify right side
    405,039.30x = 160,343,478,256.55
  5. Step 5: Solve for x
    x = 160,343,478,256.55/405,039.30
  6. Step 6: Final answer
    x = 395,871.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.