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Finding the Fourth Proportional to 390,457.17, 585,824.46 and 174,296.31

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Solution

The fourth proportional to 390,457.17, 585,824.46 and 174,296.31 is: 261,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,457.17 : 585,824.46 = 174,296.31 : x
  2. Step 2: Convert to fraction form
    390,457.17/585,824.46 = 174,296.31/x
  3. Step 3: Cross multiply
    390,457.17x = 585,824.46 × 174,296.31
  4. Step 4: Simplify right side
    390,457.17x = 102,107,041,685.74
  5. Step 5: Solve for x
    x = 102,107,041,685.74/390,457.17
  6. Step 6: Final answer
    x = 261,506.38

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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.