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Finding the Fourth Proportional to 385,411.84, 578,152.32 and 104,930.56

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Solution

The fourth proportional to 385,411.84, 578,152.32 and 104,930.56 is: 157,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,411.84 : 578,152.32 = 104,930.56 : x
  2. Step 2: Convert to fraction form
    385,411.84/578,152.32 = 104,930.56/x
  3. Step 3: Cross multiply
    385,411.84x = 578,152.32 × 104,930.56
  4. Step 4: Simplify right side
    385,411.84x = 60,665,846,702.90
  5. Step 5: Solve for x
    x = 60,665,846,702.90/385,411.84
  6. Step 6: Final answer
    x = 157,405.25

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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.