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Finding the Fourth Proportional to 343,705.40, 516,019.80 and 201,696.20

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Solution

The fourth proportional to 343,705.40, 516,019.80 and 201,696.20 is: 302,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,705.40 : 516,019.80 = 201,696.20 : x
  2. Step 2: Convert to fraction form
    343,705.40/516,019.80 = 201,696.20/x
  3. Step 3: Cross multiply
    343,705.40x = 516,019.80 × 201,696.20
  4. Step 4: Simplify right side
    343,705.40x = 104,079,232,784.76
  5. Step 5: Solve for x
    x = 104,079,232,784.76/343,705.40
  6. Step 6: Final answer
    x = 302,815.24

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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.