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Finding the Fourth Proportional to 340,953.02, 470,322.50 and 213,407.18

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Solution

The fourth proportional to 340,953.02, 470,322.50 and 213,407.18 is: 294,381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,953.02 : 470,322.50 = 213,407.18 : x
  2. Step 2: Convert to fraction form
    340,953.02/470,322.50 = 213,407.18/x
  3. Step 3: Cross multiply
    340,953.02x = 470,322.50 × 213,407.18
  4. Step 4: Simplify right side
    340,953.02x = 100,370,194,996.90
  5. Step 5: Solve for x
    x = 100,370,194,996.90/340,953.02
  6. Step 6: Final answer
    x = 294,381.31

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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.