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Finding the Fourth Proportional to 309,710.16, 464,645.16 and 99,349.92

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Solution

The fourth proportional to 309,710.16, 464,645.16 and 99,349.92 is: 149,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,710.16 : 464,645.16 = 99,349.92 : x
  2. Step 2: Convert to fraction form
    309,710.16/464,645.16 = 99,349.92/x
  3. Step 3: Cross multiply
    309,710.16x = 464,645.16 × 99,349.92
  4. Step 4: Simplify right side
    309,710.16x = 46,162,459,474.39
  5. Step 5: Solve for x
    x = 46,162,459,474.39/309,710.16
  6. Step 6: Final answer
    x = 149,050.52

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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.