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Finding the Fourth Proportional to 313,012.14, 469,555.47 and 99,705.17

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Solution

The fourth proportional to 313,012.14, 469,555.47 and 99,705.17 is: 149,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,012.14 : 469,555.47 = 99,705.17 : x
  2. Step 2: Convert to fraction form
    313,012.14/469,555.47 = 99,705.17/x
  3. Step 3: Cross multiply
    313,012.14x = 469,555.47 × 99,705.17
  4. Step 4: Simplify right side
    313,012.14x = 46,817,107,960.78
  5. Step 5: Solve for x
    x = 46,817,107,960.78/313,012.14
  6. Step 6: Final answer
    x = 149,569.62

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1.5x scale

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.