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Finding the Fourth Proportional to 457,139.19, 685,753.88 and 157,580.34

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Solution

The fourth proportional to 457,139.19, 685,753.88 and 157,580.34 is: 236,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,139.19 : 685,753.88 = 157,580.34 : x
  2. Step 2: Convert to fraction form
    457,139.19/685,753.88 = 157,580.34/x
  3. Step 3: Cross multiply
    457,139.19x = 685,753.88 × 157,580.34
  4. Step 4: Simplify right side
    457,139.19x = 108,061,327,093.63
  5. Step 5: Solve for x
    x = 108,061,327,093.63/457,139.19
  6. Step 6: Final answer
    x = 236,386.05

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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.