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Finding the Fourth Proportional to 343,083.40, 514,626.34 and 242,940.68

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Solution

The fourth proportional to 343,083.40, 514,626.34 and 242,940.68 is: 364,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,083.40 : 514,626.34 = 242,940.68 : x
  2. Step 2: Convert to fraction form
    343,083.40/514,626.34 = 242,940.68/x
  3. Step 3: Cross multiply
    343,083.40x = 514,626.34 × 242,940.68
  4. Step 4: Simplify right side
    343,083.40x = 125,023,672,985.51
  5. Step 5: Solve for x
    x = 125,023,672,985.51/343,083.40
  6. Step 6: Final answer
    x = 364,411.90

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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.