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Finding the Fourth Proportional to 565,671.34, 780,629.34 and 311,038.90

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Solution

The fourth proportional to 565,671.34, 780,629.34 and 311,038.90 is: 429,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,671.34 : 780,629.34 = 311,038.90 : x
  2. Step 2: Convert to fraction form
    565,671.34/780,629.34 = 311,038.90/x
  3. Step 3: Cross multiply
    565,671.34x = 780,629.34 × 311,038.90
  4. Step 4: Simplify right side
    565,671.34x = 242,806,091,221.33
  5. Step 5: Solve for x
    x = 242,806,091,221.33/565,671.34
  6. Step 6: Final answer
    x = 429,235.27

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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.