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Finding the Fourth Proportional to 457,730.13, 686,696.31 and 154,139.19

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Solution

The fourth proportional to 457,730.13, 686,696.31 and 154,139.19 is: 231,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,730.13 : 686,696.31 = 154,139.19 : x
  2. Step 2: Convert to fraction form
    457,730.13/686,696.31 = 154,139.19/x
  3. Step 3: Cross multiply
    457,730.13x = 686,696.31 × 154,139.19
  4. Step 4: Simplify right side
    457,730.13x = 105,846,812,999.39
  5. Step 5: Solve for x
    x = 105,846,812,999.39/457,730.13
  6. Step 6: Final answer
    x = 231,242.84

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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.