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Finding the Fourth Proportional to 310,477.76, 464,788.38 and 190,155.85

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Solution

The fourth proportional to 310,477.76, 464,788.38 and 190,155.85 is: 284,665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,477.76 : 464,788.38 = 190,155.85 : x
  2. Step 2: Convert to fraction form
    310,477.76/464,788.38 = 190,155.85/x
  3. Step 3: Cross multiply
    310,477.76x = 464,788.38 × 190,155.85
  4. Step 4: Simplify right side
    310,477.76x = 88,382,230,564.94
  5. Step 5: Solve for x
    x = 88,382,230,564.94/310,477.76
  6. Step 6: Final answer
    x = 284,665.26

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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.