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Finding the Fourth Proportional to 612,940.40, 917,704.20 and 312,772.40

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Solution

The fourth proportional to 612,940.40, 917,704.20 and 312,772.40 is: 468,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,940.40 : 917,704.20 = 312,772.40 : x
  2. Step 2: Convert to fraction form
    612,940.40/917,704.20 = 312,772.40/x
  3. Step 3: Cross multiply
    612,940.40x = 917,704.20 × 312,772.40
  4. Step 4: Simplify right side
    612,940.40x = 287,032,545,124.08
  5. Step 5: Solve for x
    x = 287,032,545,124.08/612,940.40
  6. Step 6: Final answer
    x = 468,287.85

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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.