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Finding the Fourth Proportional to 307,559.52, 424,442.61 and 178,488.06

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Solution

The fourth proportional to 307,559.52, 424,442.61 and 178,488.06 is: 246,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,559.52 : 424,442.61 = 178,488.06 : x
  2. Step 2: Convert to fraction form
    307,559.52/424,442.61 = 178,488.06/x
  3. Step 3: Cross multiply
    307,559.52x = 424,442.61 × 178,488.06
  4. Step 4: Simplify right side
    307,559.52x = 75,757,938,040.24
  5. Step 5: Solve for x
    x = 75,757,938,040.24/307,559.52
  6. Step 6: Final answer
    x = 246,319.60

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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.