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Finding the Fourth Proportional to 567,325.94, 782,915.25 and 312,686.90

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Solution

The fourth proportional to 567,325.94, 782,915.25 and 312,686.90 is: 431,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,325.94 : 782,915.25 = 312,686.90 : x
  2. Step 2: Convert to fraction form
    567,325.94/782,915.25 = 312,686.90/x
  3. Step 3: Cross multiply
    567,325.94x = 782,915.25 × 312,686.90
  4. Step 4: Simplify right side
    567,325.94x = 244,807,342,485.23
  5. Step 5: Solve for x
    x = 244,807,342,485.23/567,325.94
  6. Step 6: Final answer
    x = 431,510.93

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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.