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Finding the Fourth Proportional to 354,329.80, 530,328.30 and 312,339.40

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Solution

The fourth proportional to 354,329.80, 530,328.30 and 312,339.40 is: 467,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,329.80 : 530,328.30 = 312,339.40 : x
  2. Step 2: Convert to fraction form
    354,329.80/530,328.30 = 312,339.40/x
  3. Step 3: Cross multiply
    354,329.80x = 530,328.30 × 312,339.40
  4. Step 4: Simplify right side
    354,329.80x = 165,642,423,025.02
  5. Step 5: Solve for x
    x = 165,642,423,025.02/354,329.80
  6. Step 6: Final answer
    x = 467,480.93

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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.