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Finding the Fourth Proportional to 272,907.40, 409,361.10 and 154,809.40

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Solution

The fourth proportional to 272,907.40, 409,361.10 and 154,809.40 is: 232,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,907.40 : 409,361.10 = 154,809.40 : x
  2. Step 2: Convert to fraction form
    272,907.40/409,361.10 = 154,809.40/x
  3. Step 3: Cross multiply
    272,907.40x = 409,361.10 × 154,809.40
  4. Step 4: Simplify right side
    272,907.40x = 63,372,946,274.34
  5. Step 5: Solve for x
    x = 63,372,946,274.34/272,907.40
  6. Step 6: Final answer
    x = 232,214.10

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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.