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Finding the Fourth Proportional to 309,454, 464,187.50 and 99,091.32

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Solution

The fourth proportional to 309,454, 464,187.50 and 99,091.32 is: 148,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,454 : 464,187.50 = 99,091.32 : x
  2. Step 2: Convert to fraction form
    309,454/464,187.50 = 99,091.32/x
  3. Step 3: Cross multiply
    309,454x = 464,187.50 × 99,091.32
  4. Step 4: Simplify right side
    309,454x = 45,996,952,102.50
  5. Step 5: Solve for x
    x = 45,996,952,102.50/309,454
  6. Step 6: Final answer
    x = 148,639.06

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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.