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Finding the Fourth Proportional to 565,809.76, 780,801.90 and 311,160.94

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Solution

The fourth proportional to 565,809.76, 780,801.90 and 311,160.94 is: 429,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,809.76 : 780,801.90 = 311,160.94 : x
  2. Step 2: Convert to fraction form
    565,809.76/780,801.90 = 311,160.94/x
  3. Step 3: Cross multiply
    565,809.76x = 780,801.90 × 311,160.94
  4. Step 4: Simplify right side
    565,809.76x = 242,955,053,157.79
  5. Step 5: Solve for x
    x = 242,955,053,157.79/565,809.76
  6. Step 6: Final answer
    x = 429,393.54

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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.