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Finding the Fourth Proportional to 390,599.26, 539,022.13 and 229,469.00

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Solution

The fourth proportional to 390,599.26, 539,022.13 and 229,469.00 is: 316,664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,599.26 : 539,022.13 = 229,469.00 : x
  2. Step 2: Convert to fraction form
    390,599.26/539,022.13 = 229,469.00/x
  3. Step 3: Cross multiply
    390,599.26x = 539,022.13 × 229,469.00
  4. Step 4: Simplify right side
    390,599.26x = 123,688,865,880.19
  5. Step 5: Solve for x
    x = 123,688,865,880.19/390,599.26
  6. Step 6: Final answer
    x = 316,664.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.