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Finding the Fourth Proportional to 509,166.72, 763,966.08 and 272,448

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Solution

The fourth proportional to 509,166.72, 763,966.08 and 272,448 is: 408,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,166.72 : 763,966.08 = 272,448 : x
  2. Step 2: Convert to fraction form
    509,166.72/763,966.08 = 272,448/x
  3. Step 3: Cross multiply
    509,166.72x = 763,966.08 × 272,448
  4. Step 4: Simplify right side
    509,166.72x = 208,141,030,563.84
  5. Step 5: Solve for x
    x = 208,141,030,563.84/509,166.72
  6. Step 6: Final answer
    x = 408,787.58

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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.