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Finding the Fourth Proportional to 505,275.28, 697,281.47 and 323,987.93

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Solution

The fourth proportional to 505,275.28, 697,281.47 and 323,987.93 is: 447,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,275.28 : 697,281.47 = 323,987.93 : x
  2. Step 2: Convert to fraction form
    505,275.28/697,281.47 = 323,987.93/x
  3. Step 3: Cross multiply
    505,275.28x = 697,281.47 × 323,987.93
  4. Step 4: Simplify right side
    505,275.28x = 225,910,774,986.31
  5. Step 5: Solve for x
    x = 225,910,774,986.31/505,275.28
  6. Step 6: Final answer
    x = 447,104.35

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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.