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Finding the Fourth Proportional to 412,969.19, 570,002.22 and 282,199.77

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Solution

The fourth proportional to 412,969.19, 570,002.22 and 282,199.77 is: 389,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,969.19 : 570,002.22 = 282,199.77 : x
  2. Step 2: Convert to fraction form
    412,969.19/570,002.22 = 282,199.77/x
  3. Step 3: Cross multiply
    412,969.19x = 570,002.22 × 282,199.77
  4. Step 4: Simplify right side
    412,969.19x = 160,854,495,383.49
  5. Step 5: Solve for x
    x = 160,854,495,383.49/412,969.19
  6. Step 6: Final answer
    x = 389,507.26

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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.