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Finding the Fourth Proportional to 612,232.70, 917,583.60 and 312,832.40

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Solution

The fourth proportional to 612,232.70, 917,583.60 and 312,832.40 is: 468,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,232.70 : 917,583.60 = 312,832.40 : x
  2. Step 2: Convert to fraction form
    612,232.70/917,583.60 = 312,832.40/x
  3. Step 3: Cross multiply
    612,232.70x = 917,583.60 × 312,832.40
  4. Step 4: Simplify right side
    612,232.70x = 287,049,879,788.64
  5. Step 5: Solve for x
    x = 287,049,879,788.64/612,232.70
  6. Step 6: Final answer
    x = 468,857.48

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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.