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Finding the Fourth Proportional to 343,760.40, 516,102.30 and 201,751.20

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Solution

The fourth proportional to 343,760.40, 516,102.30 and 201,751.20 is: 302,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,760.40 : 516,102.30 = 201,751.20 : x
  2. Step 2: Convert to fraction form
    343,760.40/516,102.30 = 201,751.20/x
  3. Step 3: Cross multiply
    343,760.40x = 516,102.30 × 201,751.20
  4. Step 4: Simplify right side
    343,760.40x = 104,124,258,347.76
  5. Step 5: Solve for x
    x = 104,124,258,347.76/343,760.40
  6. Step 6: Final answer
    x = 302,897.77

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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.