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Finding the Fourth Proportional to 457,802.12, 686,673.10 and 158,213

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Solution

The fourth proportional to 457,802.12, 686,673.10 and 158,213 is: 237,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,802.12 : 686,673.10 = 158,213 : x
  2. Step 2: Convert to fraction form
    457,802.12/686,673.10 = 158,213/x
  3. Step 3: Cross multiply
    457,802.12x = 686,673.10 × 158,213
  4. Step 4: Simplify right side
    457,802.12x = 108,640,611,170.30
  5. Step 5: Solve for x
    x = 108,640,611,170.30/457,802.12
  6. Step 6: Final answer
    x = 237,309.10

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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.