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Finding the Fourth Proportional to 505,264.58, 697,240.64 and 287,452.74

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Solution

The fourth proportional to 505,264.58, 697,240.64 and 287,452.74 is: 396,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,264.58 : 697,240.64 = 287,452.74 : x
  2. Step 2: Convert to fraction form
    505,264.58/697,240.64 = 287,452.74/x
  3. Step 3: Cross multiply
    505,264.58x = 697,240.64 × 287,452.74
  4. Step 4: Simplify right side
    505,264.58x = 200,423,732,407.35
  5. Step 5: Solve for x
    x = 200,423,732,407.35/505,264.58
  6. Step 6: Final answer
    x = 396,670.85

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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.