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Finding the Fourth Proportional to 341,705.40, 512,558.10 and 316,822.20

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Solution

The fourth proportional to 341,705.40, 512,558.10 and 316,822.20 is: 475,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,705.40 : 512,558.10 = 316,822.20 : x
  2. Step 2: Convert to fraction form
    341,705.40/512,558.10 = 316,822.20/x
  3. Step 3: Cross multiply
    341,705.40x = 512,558.10 × 316,822.20
  4. Step 4: Simplify right side
    341,705.40x = 162,389,784,869.82
  5. Step 5: Solve for x
    x = 162,389,784,869.82/341,705.40
  6. Step 6: Final answer
    x = 475,233.30

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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.