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Finding the Fourth Proportional to 456,818.40, 686,005.20 and 338,623.20

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Solution

The fourth proportional to 456,818.40, 686,005.20 and 338,623.20 is: 508,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,818.40 : 686,005.20 = 338,623.20 : x
  2. Step 2: Convert to fraction form
    456,818.40/686,005.20 = 338,623.20/x
  3. Step 3: Cross multiply
    456,818.40x = 686,005.20 × 338,623.20
  4. Step 4: Simplify right side
    456,818.40x = 232,297,276,040.64
  5. Step 5: Solve for x
    x = 232,297,276,040.64/456,818.40
  6. Step 6: Final answer
    x = 508,511.21

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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.