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Finding the Fourth Proportional to 390,858.38, 585,501.33 and 296,250.38

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Solution

The fourth proportional to 390,858.38, 585,501.33 and 296,250.38 is: 443,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,858.38 : 585,501.33 = 296,250.38 : x
  2. Step 2: Convert to fraction form
    390,858.38/585,501.33 = 296,250.38/x
  3. Step 3: Cross multiply
    390,858.38x = 585,501.33 × 296,250.38
  4. Step 4: Simplify right side
    390,858.38x = 173,454,991,503.01
  5. Step 5: Solve for x
    x = 173,454,991,503.01/390,858.38
  6. Step 6: Final answer
    x = 443,779.64

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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.