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Finding the Fourth Proportional to 390,266.48, 585,354.99 and 102,105.95

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Solution

The fourth proportional to 390,266.48, 585,354.99 and 102,105.95 is: 153,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,266.48 : 585,354.99 = 102,105.95 : x
  2. Step 2: Convert to fraction form
    390,266.48/585,354.99 = 102,105.95/x
  3. Step 3: Cross multiply
    390,266.48x = 585,354.99 × 102,105.95
  4. Step 4: Simplify right side
    390,266.48x = 59,768,224,414.42
  5. Step 5: Solve for x
    x = 59,768,224,414.42/390,266.48
  6. Step 6: Final answer
    x = 153,147.22

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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.