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Finding the Fourth Proportional to 313,471.80, 469,948.50 and 155,810.16

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Solution

The fourth proportional to 313,471.80, 469,948.50 and 155,810.16 is: 233,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,471.80 : 469,948.50 = 155,810.16 : x
  2. Step 2: Convert to fraction form
    313,471.80/469,948.50 = 155,810.16/x
  3. Step 3: Cross multiply
    313,471.80x = 469,948.50 × 155,810.16
  4. Step 4: Simplify right side
    313,471.80x = 73,222,750,976.76
  5. Step 5: Solve for x
    x = 73,222,750,976.76/313,471.80
  6. Step 6: Final answer
    x = 233,586.41

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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.