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Finding the Fourth Proportional to 354,710.20, 532,065.30 and 310,423.46

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Solution

The fourth proportional to 354,710.20, 532,065.30 and 310,423.46 is: 465,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,710.20 : 532,065.30 = 310,423.46 : x
  2. Step 2: Convert to fraction form
    354,710.20/532,065.30 = 310,423.46/x
  3. Step 3: Cross multiply
    354,710.20x = 532,065.30 × 310,423.46
  4. Step 4: Simplify right side
    354,710.20x = 165,165,551,371.94
  5. Step 5: Solve for x
    x = 165,165,551,371.94/354,710.20
  6. Step 6: Final answer
    x = 465,635.19

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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.