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Finding the Fourth Proportional to 561,770.88, 775,246.48 and 307,122

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Solution

The fourth proportional to 561,770.88, 775,246.48 and 307,122 is: 423,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,770.88 : 775,246.48 = 307,122 : x
  2. Step 2: Convert to fraction form
    561,770.88/775,246.48 = 307,122/x
  3. Step 3: Cross multiply
    561,770.88x = 775,246.48 × 307,122
  4. Step 4: Simplify right side
    561,770.88x = 238,095,249,430.56
  5. Step 5: Solve for x
    x = 238,095,249,430.56/561,770.88
  6. Step 6: Final answer
    x = 423,829.82

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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.