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Finding the Fourth Proportional to 340,513.50, 469,683.50 and 212,967.66

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Solution

The fourth proportional to 340,513.50, 469,683.50 and 212,967.66 is: 293,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,513.50 : 469,683.50 = 212,967.66 : x
  2. Step 2: Convert to fraction form
    340,513.50/469,683.50 = 212,967.66/x
  3. Step 3: Cross multiply
    340,513.50x = 469,683.50 × 212,967.66
  4. Step 4: Simplify right side
    340,513.50x = 100,027,395,935.61
  5. Step 5: Solve for x
    x = 100,027,395,935.61/340,513.50
  6. Step 6: Final answer
    x = 293,754.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.