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Finding the Fourth Proportional to 423,959.24, 634,554.30 and 311,609.72

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Solution

The fourth proportional to 423,959.24, 634,554.30 and 311,609.72 is: 466,396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,959.24 : 634,554.30 = 311,609.72 : x
  2. Step 2: Convert to fraction form
    423,959.24/634,554.30 = 311,609.72/x
  3. Step 3: Cross multiply
    423,959.24x = 634,554.30 × 311,609.72
  4. Step 4: Simplify right side
    423,959.24x = 197,733,287,747.80
  5. Step 5: Solve for x
    x = 197,733,287,747.80/423,959.24
  6. Step 6: Final answer
    x = 466,396.93

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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.