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Finding the Fourth Proportional to 288,605.05, 432,907.56 and 78,237.52

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Solution

The fourth proportional to 288,605.05, 432,907.56 and 78,237.52 is: 117,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,605.05 : 432,907.56 = 78,237.52 : x
  2. Step 2: Convert to fraction form
    288,605.05/432,907.56 = 78,237.52/x
  3. Step 3: Cross multiply
    288,605.05x = 432,907.56 × 78,237.52
  4. Step 4: Simplify right side
    288,605.05x = 33,869,613,883.65
  5. Step 5: Solve for x
    x = 33,869,613,883.65/288,605.05
  6. Step 6: Final answer
    x = 117,356.28

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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.