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Finding the Fourth Proportional to 357,787.76, 493,368.84 and 300,387.54

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Solution

The fourth proportional to 357,787.76, 493,368.84 and 300,387.54 is: 414,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,787.76 : 493,368.84 = 300,387.54 : x
  2. Step 2: Convert to fraction form
    357,787.76/493,368.84 = 300,387.54/x
  3. Step 3: Cross multiply
    357,787.76x = 493,368.84 × 300,387.54
  4. Step 4: Simplify right side
    357,787.76x = 148,201,852,160.25
  5. Step 5: Solve for x
    x = 148,201,852,160.25/357,787.76
  6. Step 6: Final answer
    x = 414,217.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.