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Finding the Fourth Proportional to 313,381.12, 470,123.52 and 155,614.72

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Solution

The fourth proportional to 313,381.12, 470,123.52 and 155,614.72 is: 233,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,381.12 : 470,123.52 = 155,614.72 : x
  2. Step 2: Convert to fraction form
    313,381.12/470,123.52 = 155,614.72/x
  3. Step 3: Cross multiply
    313,381.12x = 470,123.52 × 155,614.72
  4. Step 4: Simplify right side
    313,381.12x = 73,158,139,930.21
  5. Step 5: Solve for x
    x = 73,158,139,930.21/313,381.12
  6. Step 6: Final answer
    x = 233,447.82

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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.