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Finding the Fourth Proportional to 390,478.79, 585,299.01 and 165,649.52

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Solution

The fourth proportional to 390,478.79, 585,299.01 and 165,649.52 is: 248,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,478.79 : 585,299.01 = 165,649.52 : x
  2. Step 2: Convert to fraction form
    390,478.79/585,299.01 = 165,649.52/x
  3. Step 3: Cross multiply
    390,478.79x = 585,299.01 × 165,649.52
  4. Step 4: Simplify right side
    390,478.79x = 96,954,500,062.98
  5. Step 5: Solve for x
    x = 96,954,500,062.98/390,478.79
  6. Step 6: Final answer
    x = 248,296.46

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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.