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Finding the Fourth Proportional to 312,685.28, 468,852.96 and 102,266.72

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Solution

The fourth proportional to 312,685.28, 468,852.96 and 102,266.72 is: 153,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,685.28 : 468,852.96 = 102,266.72 : x
  2. Step 2: Convert to fraction form
    312,685.28/468,852.96 = 102,266.72/x
  3. Step 3: Cross multiply
    312,685.28x = 468,852.96 × 102,266.72
  4. Step 4: Simplify right side
    312,685.28x = 47,948,054,381.49
  5. Step 5: Solve for x
    x = 47,948,054,381.49/312,685.28
  6. Step 6: Final answer
    x = 153,342.86

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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.