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Finding the Fourth Proportional to 437,678.75, 656,518.13 and 105,254.75

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Solution

The fourth proportional to 437,678.75, 656,518.13 and 105,254.75 is: 157,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,678.75 : 656,518.13 = 105,254.75 : x
  2. Step 2: Convert to fraction form
    437,678.75/656,518.13 = 105,254.75/x
  3. Step 3: Cross multiply
    437,678.75x = 656,518.13 × 105,254.75
  4. Step 4: Simplify right side
    437,678.75x = 69,101,651,643.62
  5. Step 5: Solve for x
    x = 69,101,651,643.62/437,678.75
  6. Step 6: Final answer
    x = 157,882.13

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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.