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Finding the Fourth Proportional to 469,129.32, 647,458.42 and 262,409.20

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Solution

The fourth proportional to 469,129.32, 647,458.42 and 262,409.20 is: 362,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,129.32 : 647,458.42 = 262,409.20 : x
  2. Step 2: Convert to fraction form
    469,129.32/647,458.42 = 262,409.20/x
  3. Step 3: Cross multiply
    469,129.32x = 647,458.42 × 262,409.20
  4. Step 4: Simplify right side
    469,129.32x = 169,899,042,788.17
  5. Step 5: Solve for x
    x = 169,899,042,788.17/469,129.32
  6. Step 6: Final answer
    x = 362,158.23

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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.