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Finding the Fourth Proportional to 505,295.47, 697,318.30 and 275,862.42

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Solution

The fourth proportional to 505,295.47, 697,318.30 and 275,862.42 is: 380,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,295.47 : 697,318.30 = 275,862.42 : x
  2. Step 2: Convert to fraction form
    505,295.47/697,318.30 = 275,862.42/x
  3. Step 3: Cross multiply
    505,295.47x = 697,318.30 × 275,862.42
  4. Step 4: Simplify right side
    505,295.47x = 192,363,913,748.29
  5. Step 5: Solve for x
    x = 192,363,913,748.29/505,295.47
  6. Step 6: Final answer
    x = 380,695.90

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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.