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Finding the Fourth Proportional to 231,478.70, 346,821.20 and 155,434.70

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Solution

The fourth proportional to 231,478.70, 346,821.20 and 155,434.70 is: 232,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,478.70 : 346,821.20 = 155,434.70 : x
  2. Step 2: Convert to fraction form
    231,478.70/346,821.20 = 155,434.70/x
  3. Step 3: Cross multiply
    231,478.70x = 346,821.20 × 155,434.70
  4. Step 4: Simplify right side
    231,478.70x = 53,908,047,830.12
  5. Step 5: Solve for x
    x = 53,908,047,830.12/231,478.70
  6. Step 6: Final answer
    x = 232,885.57

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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.