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Finding the Fourth Proportional to 421,763.40, 631,850.54 and 208,281.42

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Solution

The fourth proportional to 421,763.40, 631,850.54 and 208,281.42 is: 312,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,763.40 : 631,850.54 = 208,281.42 : x
  2. Step 2: Convert to fraction form
    421,763.40/631,850.54 = 208,281.42/x
  3. Step 3: Cross multiply
    421,763.40x = 631,850.54 × 208,281.42
  4. Step 4: Simplify right side
    421,763.40x = 131,602,727,829.14
  5. Step 5: Solve for x
    x = 131,602,727,829.14/421,763.40
  6. Step 6: Final answer
    x = 312,029.75

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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.