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Finding the Fourth Proportional to 457,048.42, 685,152.70 and 157,457.76

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Solution

The fourth proportional to 457,048.42, 685,152.70 and 157,457.76 is: 236,041.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,048.42 : 685,152.70 = 157,457.76 : x
  2. Step 2: Convert to fraction form
    457,048.42/685,152.70 = 157,457.76/x
  3. Step 3: Cross multiply
    457,048.42x = 685,152.70 × 157,457.76
  4. Step 4: Simplify right side
    457,048.42x = 107,882,609,399.95
  5. Step 5: Solve for x
    x = 107,882,609,399.95/457,048.42
  6. Step 6: Final answer
    x = 236,041.97

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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.