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Finding the Fourth Proportional to 343,280.20, 514,920.30 and 312,867.40

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Solution

The fourth proportional to 343,280.20, 514,920.30 and 312,867.40 is: 469,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,280.20 : 514,920.30 = 312,867.40 : x
  2. Step 2: Convert to fraction form
    343,280.20/514,920.30 = 312,867.40/x
  3. Step 3: Cross multiply
    343,280.20x = 514,920.30 × 312,867.40
  4. Step 4: Simplify right side
    343,280.20x = 161,101,775,468.22
  5. Step 5: Solve for x
    x = 161,101,775,468.22/343,280.20
  6. Step 6: Final answer
    x = 469,301.10

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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.