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Finding the Fourth Proportional to 458,418.02, 687,471.31 and 158,828.67

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Solution

The fourth proportional to 458,418.02, 687,471.31 and 158,828.67 is: 238,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,418.02 : 687,471.31 = 158,828.67 : x
  2. Step 2: Convert to fraction form
    458,418.02/687,471.31 = 158,828.67/x
  3. Step 3: Cross multiply
    458,418.02x = 687,471.31 × 158,828.67
  4. Step 4: Simplify right side
    458,418.02x = 109,190,153,830.46
  5. Step 5: Solve for x
    x = 109,190,153,830.46/458,418.02
  6. Step 6: Final answer
    x = 238,189.05

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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.