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Finding the Fourth Proportional to 505,694.58, 697,207.38 and 360,665.76

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Solution

The fourth proportional to 505,694.58, 697,207.38 and 360,665.76 is: 497,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,694.58 : 697,207.38 = 360,665.76 : x
  2. Step 2: Convert to fraction form
    505,694.58/697,207.38 = 360,665.76/x
  3. Step 3: Cross multiply
    505,694.58x = 697,207.38 × 360,665.76
  4. Step 4: Simplify right side
    505,694.58x = 251,458,829,585.31
  5. Step 5: Solve for x
    x = 251,458,829,585.31/505,694.58
  6. Step 6: Final answer
    x = 497,254.35

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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.