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Finding the Fourth Proportional to 565,654.20, 780,582.82 and 311,003.40

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Solution

The fourth proportional to 565,654.20, 780,582.82 and 311,003.40 is: 429,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,654.20 : 780,582.82 = 311,003.40 : x
  2. Step 2: Convert to fraction form
    565,654.20/780,582.82 = 311,003.40/x
  3. Step 3: Cross multiply
    565,654.20x = 780,582.82 × 311,003.40
  4. Step 4: Simplify right side
    565,654.20x = 242,763,911,001.59
  5. Step 5: Solve for x
    x = 242,763,911,001.59/565,654.20
  6. Step 6: Final answer
    x = 429,173.71

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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.