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Finding the Fourth Proportional to 505,214.40, 697,196.50 and 278,859.90

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Solution

The fourth proportional to 505,214.40, 697,196.50 and 278,859.90 is: 384,827.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,214.40 : 697,196.50 = 278,859.90 : x
  2. Step 2: Convert to fraction form
    505,214.40/697,196.50 = 278,859.90/x
  3. Step 3: Cross multiply
    505,214.40x = 697,196.50 × 278,859.90
  4. Step 4: Simplify right side
    505,214.40x = 194,420,146,270.35
  5. Step 5: Solve for x
    x = 194,420,146,270.35/505,214.40
  6. Step 6: Final answer
    x = 384,827.01

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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.