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Finding the Fourth Proportional to 565,781.77, 780,799.67 and 311,156.65

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Solution

The fourth proportional to 565,781.77, 780,799.67 and 311,156.65 is: 429,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,781.77 : 780,799.67 = 311,156.65 : x
  2. Step 2: Convert to fraction form
    565,781.77/780,799.67 = 311,156.65/x
  3. Step 3: Cross multiply
    565,781.77x = 780,799.67 × 311,156.65
  4. Step 4: Simplify right side
    565,781.77x = 242,951,009,638.31
  5. Step 5: Solve for x
    x = 242,951,009,638.31/565,781.77
  6. Step 6: Final answer
    x = 429,407.63

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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.