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Finding the Fourth Proportional to 457,661.55, 686,492.33 and 158,115.45

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Solution

The fourth proportional to 457,661.55, 686,492.33 and 158,115.45 is: 237,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,661.55 : 686,492.33 = 158,115.45 : x
  2. Step 2: Convert to fraction form
    457,661.55/686,492.33 = 158,115.45/x
  3. Step 3: Cross multiply
    457,661.55x = 686,492.33 × 158,115.45
  4. Step 4: Simplify right side
    457,661.55x = 108,545,042,888.92
  5. Step 5: Solve for x
    x = 108,545,042,888.92/457,661.55
  6. Step 6: Final answer
    x = 237,173.18

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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.