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Finding the Fourth Proportional to 438,334.56, 657,590.40 and 185,614.56

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Solution

The fourth proportional to 438,334.56, 657,590.40 and 185,614.56 is: 278,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,334.56 : 657,590.40 = 185,614.56 : x
  2. Step 2: Convert to fraction form
    438,334.56/657,590.40 = 185,614.56/x
  3. Step 3: Cross multiply
    438,334.56x = 657,590.40 × 185,614.56
  4. Step 4: Simplify right side
    438,334.56x = 122,058,352,756.22
  5. Step 5: Solve for x
    x = 122,058,352,756.22/438,334.56
  6. Step 6: Final answer
    x = 278,459.34

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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.