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Finding the Fourth Proportional to 456,956.32, 685,302.96 and 157,424.80

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Solution

The fourth proportional to 456,956.32, 685,302.96 and 157,424.80 is: 236,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,956.32 : 685,302.96 = 157,424.80 : x
  2. Step 2: Convert to fraction form
    456,956.32/685,302.96 = 157,424.80/x
  3. Step 3: Cross multiply
    456,956.32x = 685,302.96 × 157,424.80
  4. Step 4: Simplify right side
    456,956.32x = 107,883,681,417.41
  5. Step 5: Solve for x
    x = 107,883,681,417.41/456,956.32
  6. Step 6: Final answer
    x = 236,091.89

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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.