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Finding the Fourth Proportional to 457,720, 686,683.84 and 162,232

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Solution

The fourth proportional to 457,720, 686,683.84 and 162,232 is: 243,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,720 : 686,683.84 = 162,232 : x
  2. Step 2: Convert to fraction form
    457,720/686,683.84 = 162,232/x
  3. Step 3: Cross multiply
    457,720x = 686,683.84 × 162,232
  4. Step 4: Simplify right side
    457,720x = 111,402,092,730.88
  5. Step 5: Solve for x
    x = 111,402,092,730.88/457,720
  6. Step 6: Final answer
    x = 243,384.80

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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.