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Finding the Fourth Proportional to 458,786, 688,237.32 and 126,362

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Solution

The fourth proportional to 458,786, 688,237.32 and 126,362 is: 189,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,786 : 688,237.32 = 126,362 : x
  2. Step 2: Convert to fraction form
    458,786/688,237.32 = 126,362/x
  3. Step 3: Cross multiply
    458,786x = 688,237.32 × 126,362
  4. Step 4: Simplify right side
    458,786x = 86,967,044,229.84
  5. Step 5: Solve for x
    x = 86,967,044,229.84/458,786
  6. Step 6: Final answer
    x = 189,559.06

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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.