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Finding the Fourth Proportional to 272,840.40, 409,114.80 and 114,890.40

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Solution

The fourth proportional to 272,840.40, 409,114.80 and 114,890.40 is: 172,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,840.40 : 409,114.80 = 114,890.40 : x
  2. Step 2: Convert to fraction form
    272,840.40/409,114.80 = 114,890.40/x
  3. Step 3: Cross multiply
    272,840.40x = 409,114.80 × 114,890.40
  4. Step 4: Simplify right side
    272,840.40x = 47,003,363,017.92
  5. Step 5: Solve for x
    x = 47,003,363,017.92/272,840.40
  6. Step 6: Final answer
    x = 172,274.21

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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.