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Finding the Fourth Proportional to 565,470.15, 847,999.84 and 309,491.93

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Solution

The fourth proportional to 565,470.15, 847,999.84 and 309,491.93 is: 464,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,470.15 : 847,999.84 = 309,491.93 : x
  2. Step 2: Convert to fraction form
    565,470.15/847,999.84 = 309,491.93/x
  3. Step 3: Cross multiply
    565,470.15x = 847,999.84 × 309,491.93
  4. Step 4: Simplify right side
    565,470.15x = 262,449,107,121.29
  5. Step 5: Solve for x
    x = 262,449,107,121.29/565,470.15
  6. Step 6: Final answer
    x = 464,125.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.