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Finding the Fourth Proportional to 272,994.84, 409,477.32 and 83,455.11

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Solution

The fourth proportional to 272,994.84, 409,477.32 and 83,455.11 is: 125,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,994.84 : 409,477.32 = 83,455.11 : x
  2. Step 2: Convert to fraction form
    272,994.84/409,477.32 = 83,455.11/x
  3. Step 3: Cross multiply
    272,994.84x = 409,477.32 × 83,455.11
  4. Step 4: Simplify right side
    272,994.84x = 34,172,974,783.11
  5. Step 5: Solve for x
    x = 34,172,974,783.11/272,994.84
  6. Step 6: Final answer
    x = 125,178.10

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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.