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Finding the Fourth Proportional to 412,328.61, 618,061.32 and 172,579.95

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Solution

The fourth proportional to 412,328.61, 618,061.32 and 172,579.95 is: 258,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,328.61 : 618,061.32 = 172,579.95 : x
  2. Step 2: Convert to fraction form
    412,328.61/618,061.32 = 172,579.95/x
  3. Step 3: Cross multiply
    412,328.61x = 618,061.32 × 172,579.95
  4. Step 4: Simplify right side
    412,328.61x = 106,664,991,702.53
  5. Step 5: Solve for x
    x = 106,664,991,702.53/412,328.61
  6. Step 6: Final answer
    x = 258,689.28

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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.