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Finding the Fourth Proportional to 415,051.60, 622,577.40 and 340,256.20

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Solution

The fourth proportional to 415,051.60, 622,577.40 and 340,256.20 is: 510,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,051.60 : 622,577.40 = 340,256.20 : x
  2. Step 2: Convert to fraction form
    415,051.60/622,577.40 = 340,256.20/x
  3. Step 3: Cross multiply
    415,051.60x = 622,577.40 × 340,256.20
  4. Step 4: Simplify right side
    415,051.60x = 211,835,820,329.88
  5. Step 5: Solve for x
    x = 211,835,820,329.88/415,051.60
  6. Step 6: Final answer
    x = 510,384.30

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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.