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Finding the Fourth Proportional to 652,304, 900,181.14 and 380,558.72

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Solution

The fourth proportional to 652,304, 900,181.14 and 380,558.72 is: 525,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,304 : 900,181.14 = 380,558.72 : x
  2. Step 2: Convert to fraction form
    652,304/900,181.14 = 380,558.72/x
  3. Step 3: Cross multiply
    652,304x = 900,181.14 × 380,558.72
  4. Step 4: Simplify right side
    652,304x = 342,571,782,406.54
  5. Step 5: Solve for x
    x = 342,571,782,406.54/652,304
  6. Step 6: Final answer
    x = 525,171.98

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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.