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Finding the Fourth Proportional to 505,092.64, 697,280.16 and 314,167.36

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Solution

The fourth proportional to 505,092.64, 697,280.16 and 314,167.36 is: 433,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,092.64 : 697,280.16 = 314,167.36 : x
  2. Step 2: Convert to fraction form
    505,092.64/697,280.16 = 314,167.36/x
  3. Step 3: Cross multiply
    505,092.64x = 697,280.16 × 314,167.36
  4. Step 4: Simplify right side
    505,092.64x = 219,062,667,047.58
  5. Step 5: Solve for x
    x = 219,062,667,047.58/505,092.64
  6. Step 6: Final answer
    x = 433,707.90

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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.