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Finding the Fourth Proportional to 505,172.64, 697,138.25 and 344,308.71

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Solution

The fourth proportional to 505,172.64, 697,138.25 and 344,308.71 is: 475,146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,172.64 : 697,138.25 = 344,308.71 : x
  2. Step 2: Convert to fraction form
    505,172.64/697,138.25 = 344,308.71/x
  3. Step 3: Cross multiply
    505,172.64x = 697,138.25 × 344,308.71
  4. Step 4: Simplify right side
    505,172.64x = 240,030,771,461.53
  5. Step 5: Solve for x
    x = 240,030,771,461.53/505,172.64
  6. Step 6: Final answer
    x = 475,146.03

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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.